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Finding the Fourth Proportional to 286,294.40, 429,490.20 and 86,613.20

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Solution

The fourth proportional to 286,294.40, 429,490.20 and 86,613.20 is: 129,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.40 : 429,490.20 = 86,613.20 : x
  2. Step 2: Convert to fraction form
    286,294.40/429,490.20 = 86,613.20/x
  3. Step 3: Cross multiply
    286,294.40x = 429,490.20 × 86,613.20
  4. Step 4: Simplify right side
    286,294.40x = 37,199,520,590.64
  5. Step 5: Solve for x
    x = 37,199,520,590.64/286,294.40
  6. Step 6: Final answer
    x = 129,934.50

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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.