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Finding the Fourth Proportional to 429,681.86, 592,940.85 and 238,706.90

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Solution

The fourth proportional to 429,681.86, 592,940.85 and 238,706.90 is: 329,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,681.86 : 592,940.85 = 238,706.90 : x
  2. Step 2: Convert to fraction form
    429,681.86/592,940.85 = 238,706.90/x
  3. Step 3: Cross multiply
    429,681.86x = 592,940.85 × 238,706.90
  4. Step 4: Simplify right side
    429,681.86x = 141,539,072,186.87
  5. Step 5: Solve for x
    x = 141,539,072,186.87/429,681.86
  6. Step 6: Final answer
    x = 329,404.35

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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.