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Finding the Fourth Proportional to 429,056.20, 592,102.20 and 238,072.78

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Solution

The fourth proportional to 429,056.20, 592,102.20 and 238,072.78 is: 328,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,056.20 : 592,102.20 = 238,072.78 : x
  2. Step 2: Convert to fraction form
    429,056.20/592,102.20 = 238,072.78/x
  3. Step 3: Cross multiply
    429,056.20x = 592,102.20 × 238,072.78
  4. Step 4: Simplify right side
    429,056.20x = 140,963,416,798.12
  5. Step 5: Solve for x
    x = 140,963,416,798.12/429,056.20
  6. Step 6: Final answer
    x = 328,543.01

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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.