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Finding the Fourth Proportional to 712,582.30, 983,379.52 and 406,652.59

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Solution

The fourth proportional to 712,582.30, 983,379.52 and 406,652.59 is: 561,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,582.30 : 983,379.52 = 406,652.59 : x
  2. Step 2: Convert to fraction form
    712,582.30/983,379.52 = 406,652.59/x
  3. Step 3: Cross multiply
    712,582.30x = 983,379.52 × 406,652.59
  4. Step 4: Simplify right side
    712,582.30x = 399,893,828,760.96
  5. Step 5: Solve for x
    x = 399,893,828,760.96/712,582.30
  6. Step 6: Final answer
    x = 561,189.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.