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Finding the Fourth Proportional to 390,822.60, 586,233.90 and 354,664.20

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Solution

The fourth proportional to 390,822.60, 586,233.90 and 354,664.20 is: 531,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,822.60 : 586,233.90 = 354,664.20 : x
  2. Step 2: Convert to fraction form
    390,822.60/586,233.90 = 354,664.20/x
  3. Step 3: Cross multiply
    390,822.60x = 586,233.90 × 354,664.20
  4. Step 4: Simplify right side
    390,822.60x = 207,916,177,156.38
  5. Step 5: Solve for x
    x = 207,916,177,156.38/390,822.60
  6. Step 6: Final answer
    x = 531,996.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.