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Finding the Fourth Proportional to 488,733.90, 732,882.15 and 189,114.90

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Solution

The fourth proportional to 488,733.90, 732,882.15 and 189,114.90 is: 283,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,733.90 : 732,882.15 = 189,114.90 : x
  2. Step 2: Convert to fraction form
    488,733.90/732,882.15 = 189,114.90/x
  3. Step 3: Cross multiply
    488,733.90x = 732,882.15 × 189,114.90
  4. Step 4: Simplify right side
    488,733.90x = 138,598,934,509.04
  5. Step 5: Solve for x
    x = 138,598,934,509.04/488,733.90
  6. Step 6: Final answer
    x = 283,587.72

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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.