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Finding the Fourth Proportional to 506,555.52, 698,742 and 334,475.04

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Solution

The fourth proportional to 506,555.52, 698,742 and 334,475.04 is: 461,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,555.52 : 698,742 = 334,475.04 : x
  2. Step 2: Convert to fraction form
    506,555.52/698,742 = 334,475.04/x
  3. Step 3: Cross multiply
    506,555.52x = 698,742 × 334,475.04
  4. Step 4: Simplify right side
    506,555.52x = 233,711,758,399.68
  5. Step 5: Solve for x
    x = 233,711,758,399.68/506,555.52
  6. Step 6: Final answer
    x = 461,374.42

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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.