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Finding the Fourth Proportional to 508,966.02, 702,404.76 and 282,613.14

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Solution

The fourth proportional to 508,966.02, 702,404.76 and 282,613.14 is: 390,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,966.02 : 702,404.76 = 282,613.14 : x
  2. Step 2: Convert to fraction form
    508,966.02/702,404.76 = 282,613.14/x
  3. Step 3: Cross multiply
    508,966.02x = 702,404.76 × 282,613.14
  4. Step 4: Simplify right side
    508,966.02x = 198,508,814,774.55
  5. Step 5: Solve for x
    x = 198,508,814,774.55/508,966.02
  6. Step 6: Final answer
    x = 390,023.71

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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.