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Finding the Fourth Proportional to 309,909.60, 463,691.04 and 183,617.52

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Solution

The fourth proportional to 309,909.60, 463,691.04 and 183,617.52 is: 274,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,909.60 : 463,691.04 = 183,617.52 : x
  2. Step 2: Convert to fraction form
    309,909.60/463,691.04 = 183,617.52/x
  3. Step 3: Cross multiply
    309,909.60x = 463,691.04 × 183,617.52
  4. Step 4: Simplify right side
    309,909.60x = 85,141,798,811.02
  5. Step 5: Solve for x
    x = 85,141,798,811.02/309,909.60
  6. Step 6: Final answer
    x = 274,731.08

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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.