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Finding the Fourth Proportional to 508,732.38, 702,053.46 and 317,856.42

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Solution

The fourth proportional to 508,732.38, 702,053.46 and 317,856.42 is: 438,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,732.38 : 702,053.46 = 317,856.42 : x
  2. Step 2: Convert to fraction form
    508,732.38/702,053.46 = 317,856.42/x
  3. Step 3: Cross multiply
    508,732.38x = 702,053.46 × 317,856.42
  4. Step 4: Simplify right side
    508,732.38x = 223,152,199,444.21
  5. Step 5: Solve for x
    x = 223,152,199,444.21/508,732.38
  6. Step 6: Final answer
    x = 438,643.59

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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.