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Finding the Fourth Proportional to 429,381.90, 592,523.85 and 238,383

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Solution

The fourth proportional to 429,381.90, 592,523.85 and 238,383 is: 328,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381.90 : 592,523.85 = 238,383 : x
  2. Step 2: Convert to fraction form
    429,381.90/592,523.85 = 238,383/x
  3. Step 3: Cross multiply
    429,381.90x = 592,523.85 × 238,383
  4. Step 4: Simplify right side
    429,381.90x = 141,247,612,934.55
  5. Step 5: Solve for x
    x = 141,247,612,934.55/429,381.90
  6. Step 6: Final answer
    x = 328,955.68

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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.