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Finding the Fourth Proportional to 390,775.80, 586,358.10 and 154,126.20

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Solution

The fourth proportional to 390,775.80, 586,358.10 and 154,126.20 is: 231,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,775.80 : 586,358.10 = 154,126.20 : x
  2. Step 2: Convert to fraction form
    390,775.80/586,358.10 = 154,126.20/x
  3. Step 3: Cross multiply
    390,775.80x = 586,358.10 × 154,126.20
  4. Step 4: Simplify right side
    390,775.80x = 90,373,145,792.22
  5. Step 5: Solve for x
    x = 90,373,145,792.22/390,775.80
  6. Step 6: Final answer
    x = 231,265.97

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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.