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Finding the Fourth Proportional to 480,281.92, 720,422.88 and 180,829.68

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Solution

The fourth proportional to 480,281.92, 720,422.88 and 180,829.68 is: 271,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,281.92 : 720,422.88 = 180,829.68 : x
  2. Step 2: Convert to fraction form
    480,281.92/720,422.88 = 180,829.68/x
  3. Step 3: Cross multiply
    480,281.92x = 720,422.88 × 180,829.68
  4. Step 4: Simplify right side
    480,281.92x = 130,273,838,855.08
  5. Step 5: Solve for x
    x = 130,273,838,855.08/480,281.92
  6. Step 6: Final answer
    x = 271,244.52

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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.