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Finding the Fourth Proportional to 712,582.80, 983,380.22 and 406,653.09

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Solution

The fourth proportional to 712,582.80, 983,380.22 and 406,653.09 is: 561,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,582.80 : 983,380.22 = 406,653.09 : x
  2. Step 2: Convert to fraction form
    712,582.80/983,380.22 = 406,653.09/x
  3. Step 3: Cross multiply
    712,582.80x = 983,380.22 × 406,653.09
  4. Step 4: Simplify right side
    712,582.80x = 399,894,603,074.61
  5. Step 5: Solve for x
    x = 399,894,603,074.61/712,582.80
  6. Step 6: Final answer
    x = 561,190.37

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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.