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Finding the Fourth Proportional to 458,980.40, 688,470.60 and 143,469.20

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Solution

The fourth proportional to 458,980.40, 688,470.60 and 143,469.20 is: 215,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,980.40 : 688,470.60 = 143,469.20 : x
  2. Step 2: Convert to fraction form
    458,980.40/688,470.60 = 143,469.20/x
  3. Step 3: Cross multiply
    458,980.40x = 688,470.60 × 143,469.20
  4. Step 4: Simplify right side
    458,980.40x = 98,774,326,205.52
  5. Step 5: Solve for x
    x = 98,774,326,205.52/458,980.40
  6. Step 6: Final answer
    x = 215,203.80

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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.