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Finding the Fourth Proportional to 509,299.01, 702,350.87 and 334,560.71

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Solution

The fourth proportional to 509,299.01, 702,350.87 and 334,560.71 is: 461,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,299.01 : 702,350.87 = 334,560.71 : x
  2. Step 2: Convert to fraction form
    509,299.01/702,350.87 = 334,560.71/x
  3. Step 3: Cross multiply
    509,299.01x = 702,350.87 × 334,560.71
  4. Step 4: Simplify right side
    509,299.01x = 234,979,005,736.32
  5. Step 5: Solve for x
    x = 234,979,005,736.32/509,299.01
  6. Step 6: Final answer
    x = 461,377.31

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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.