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Finding the Fourth Proportional to 458,830.40, 687,662.40 and 221,662.40

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Solution

The fourth proportional to 458,830.40, 687,662.40 and 221,662.40 is: 332,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,830.40 : 687,662.40 = 221,662.40 : x
  2. Step 2: Convert to fraction form
    458,830.40/687,662.40 = 221,662.40/x
  3. Step 3: Cross multiply
    458,830.40x = 687,662.40 × 221,662.40
  4. Step 4: Simplify right side
    458,830.40x = 152,428,897,973.76
  5. Step 5: Solve for x
    x = 152,428,897,973.76/458,830.40
  6. Step 6: Final answer
    x = 332,211.85

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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.