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Finding the Fourth Proportional to 498,024.64, 687,922.23 and 402,890.14

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Solution

The fourth proportional to 498,024.64, 687,922.23 and 402,890.14 is: 556,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,024.64 : 687,922.23 = 402,890.14 : x
  2. Step 2: Convert to fraction form
    498,024.64/687,922.23 = 402,890.14/x
  3. Step 3: Cross multiply
    498,024.64x = 687,922.23 × 402,890.14
  4. Step 4: Simplify right side
    498,024.64x = 277,157,083,553.81
  5. Step 5: Solve for x
    x = 277,157,083,553.81/498,024.64
  6. Step 6: Final answer
    x = 556,512.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.