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Finding the Fourth Proportional to 286,223.13, 429,384.17 and 96,684.86

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Solution

The fourth proportional to 286,223.13, 429,384.17 and 96,684.86 is: 145,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,223.13 : 429,384.17 = 96,684.86 : x
  2. Step 2: Convert to fraction form
    286,223.13/429,384.17 = 96,684.86/x
  3. Step 3: Cross multiply
    286,223.13x = 429,384.17 × 96,684.86
  4. Step 4: Simplify right side
    286,223.13x = 41,514,948,952.70
  5. Step 5: Solve for x
    x = 41,514,948,952.70/286,223.13
  6. Step 6: Final answer
    x = 145,044.00

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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.