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Finding the Fourth Proportional to 390,648.82, 586,031.73 and 141,389.14

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Solution

The fourth proportional to 390,648.82, 586,031.73 and 141,389.14 is: 212,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,648.82 : 586,031.73 = 141,389.14 : x
  2. Step 2: Convert to fraction form
    390,648.82/586,031.73 = 141,389.14/x
  3. Step 3: Cross multiply
    390,648.82x = 586,031.73 × 141,389.14
  4. Step 4: Simplify right side
    390,648.82x = 82,858,522,317.41
  5. Step 5: Solve for x
    x = 82,858,522,317.41/390,648.82
  6. Step 6: Final answer
    x = 212,104.88

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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.