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Finding the Fourth Proportional to 429,490.92, 592,705.44 and 238,522.08

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Solution

The fourth proportional to 429,490.92, 592,705.44 and 238,522.08 is: 329,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,490.92 : 592,705.44 = 238,522.08 : x
  2. Step 2: Convert to fraction form
    429,490.92/592,705.44 = 238,522.08/x
  3. Step 3: Cross multiply
    429,490.92x = 592,705.44 × 238,522.08
  4. Step 4: Simplify right side
    429,490.92x = 141,373,334,376.12
  5. Step 5: Solve for x
    x = 141,373,334,376.12/429,490.92
  6. Step 6: Final answer
    x = 329,164.90

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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.