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Finding the Fourth Proportional to 286,046.80, 429,070.20 and 272,924.80

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Solution

The fourth proportional to 286,046.80, 429,070.20 and 272,924.80 is: 409,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,046.80 : 429,070.20 = 272,924.80 : x
  2. Step 2: Convert to fraction form
    286,046.80/429,070.20 = 272,924.80/x
  3. Step 3: Cross multiply
    286,046.80x = 429,070.20 × 272,924.80
  4. Step 4: Simplify right side
    286,046.80x = 117,103,898,520.96
  5. Step 5: Solve for x
    x = 117,103,898,520.96/286,046.80
  6. Step 6: Final answer
    x = 409,387.20

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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.