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Finding the Fourth Proportional to 390,427.65, 585,242.64 and 221,591.25

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Solution

The fourth proportional to 390,427.65, 585,242.64 and 221,591.25 is: 332,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,427.65 : 585,242.64 = 221,591.25 : x
  2. Step 2: Convert to fraction form
    390,427.65/585,242.64 = 221,591.25/x
  3. Step 3: Cross multiply
    390,427.65x = 585,242.64 × 221,591.25
  4. Step 4: Simplify right side
    390,427.65x = 129,684,648,150.90
  5. Step 5: Solve for x
    x = 129,684,648,150.90/390,427.65
  6. Step 6: Final answer
    x = 332,160.51

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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.