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Finding the Fourth Proportional to 429,138.56, 592,213.51 and 238,152.10

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Solution

The fourth proportional to 429,138.56, 592,213.51 and 238,152.10 is: 328,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,138.56 : 592,213.51 = 238,152.10 : x
  2. Step 2: Convert to fraction form
    429,138.56/592,213.51 = 238,152.10/x
  3. Step 3: Cross multiply
    429,138.56x = 592,213.51 × 238,152.10
  4. Step 4: Simplify right side
    429,138.56x = 141,036,891,054.87
  5. Step 5: Solve for x
    x = 141,036,891,054.87/429,138.56
  6. Step 6: Final answer
    x = 328,651.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.