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Finding the Fourth Proportional to 429,586.96, 592,813.50 and 238,612.52

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Solution

The fourth proportional to 429,586.96, 592,813.50 and 238,612.52 is: 329,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,586.96 : 592,813.50 = 238,612.52 : x
  2. Step 2: Convert to fraction form
    429,586.96/592,813.50 = 238,612.52/x
  3. Step 3: Cross multiply
    429,586.96x = 592,813.50 × 238,612.52
  4. Step 4: Simplify right side
    429,586.96x = 141,452,723,125.02
  5. Step 5: Solve for x
    x = 141,452,723,125.02/429,586.96
  6. Step 6: Final answer
    x = 329,276.11

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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.