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Finding the Fourth Proportional to 286,326.40, 429,835.20 and 284,252.80

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Solution

The fourth proportional to 286,326.40, 429,835.20 and 284,252.80 is: 426,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,326.40 : 429,835.20 = 284,252.80 : x
  2. Step 2: Convert to fraction form
    286,326.40/429,835.20 = 284,252.80/x
  3. Step 3: Cross multiply
    286,326.40x = 429,835.20 × 284,252.80
  4. Step 4: Simplify right side
    286,326.40x = 122,181,859,138.56
  5. Step 5: Solve for x
    x = 122,181,859,138.56/286,326.40
  6. Step 6: Final answer
    x = 426,722.30

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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.