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Finding the Fourth Proportional to 508,950.56, 702,373.20 and 282,617.12

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Solution

The fourth proportional to 508,950.56, 702,373.20 and 282,617.12 is: 390,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,950.56 : 702,373.20 = 282,617.12 : x
  2. Step 2: Convert to fraction form
    508,950.56/702,373.20 = 282,617.12/x
  3. Step 3: Cross multiply
    508,950.56x = 702,373.20 × 282,617.12
  4. Step 4: Simplify right side
    508,950.56x = 198,502,690,949.18
  5. Step 5: Solve for x
    x = 198,502,690,949.18/508,950.56
  6. Step 6: Final answer
    x = 390,023.52

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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.