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Finding the Fourth Proportional to 712,853.44, 983,495.52 and 406,709.92

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Solution

The fourth proportional to 712,853.44, 983,495.52 and 406,709.92 is: 561,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,853.44 : 983,495.52 = 406,709.92 : x
  2. Step 2: Convert to fraction form
    712,853.44/983,495.52 = 406,709.92/x
  3. Step 3: Cross multiply
    712,853.44x = 983,495.52 × 406,709.92
  4. Step 4: Simplify right side
    712,853.44x = 399,997,384,259.56
  5. Step 5: Solve for x
    x = 399,997,384,259.56/712,853.44
  6. Step 6: Final answer
    x = 561,121.49

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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.