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Finding the Fourth Proportional to 509,298.91, 702,350.74 and 334,560.62

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Solution

The fourth proportional to 509,298.91, 702,350.74 and 334,560.62 is: 461,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,298.91 : 702,350.74 = 334,560.62 : x
  2. Step 2: Convert to fraction form
    509,298.91/702,350.74 = 334,560.62/x
  3. Step 3: Cross multiply
    509,298.91x = 702,350.74 × 334,560.62
  4. Step 4: Simplify right side
    509,298.91x = 234,978,899,031.86
  5. Step 5: Solve for x
    x = 234,978,899,031.86/509,298.91
  6. Step 6: Final answer
    x = 461,377.19

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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.