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Finding the Fourth Proportional to 429,282.71, 592,380.50 and 238,281.06

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Solution

The fourth proportional to 429,282.71, 592,380.50 and 238,281.06 is: 328,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,282.71 : 592,380.50 = 238,281.06 : x
  2. Step 2: Convert to fraction form
    429,282.71/592,380.50 = 238,281.06/x
  3. Step 3: Cross multiply
    429,282.71x = 592,380.50 × 238,281.06
  4. Step 4: Simplify right side
    429,282.71x = 141,153,053,463.33
  5. Step 5: Solve for x
    x = 141,153,053,463.33/429,282.71
  6. Step 6: Final answer
    x = 328,811.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.