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Finding the Fourth Proportional to 458,328.70, 687,298.65 and 221,743.90

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Solution

The fourth proportional to 458,328.70, 687,298.65 and 221,743.90 is: 332,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,328.70 : 687,298.65 = 221,743.90 : x
  2. Step 2: Convert to fraction form
    458,328.70/687,298.65 = 221,743.90/x
  3. Step 3: Cross multiply
    458,328.70x = 687,298.65 × 221,743.90
  4. Step 4: Simplify right side
    458,328.70x = 152,404,283,115.74
  5. Step 5: Solve for x
    x = 152,404,283,115.74/458,328.70
  6. Step 6: Final answer
    x = 332,521.80

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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.