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Finding the Fourth Proportional to 431,702.16, 595,756.32 and 238,132.08

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Solution

The fourth proportional to 431,702.16, 595,756.32 and 238,132.08 is: 328,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,702.16 : 595,756.32 = 238,132.08 : x
  2. Step 2: Convert to fraction form
    431,702.16/595,756.32 = 238,132.08/x
  3. Step 3: Cross multiply
    431,702.16x = 595,756.32 × 238,132.08
  4. Step 4: Simplify right side
    431,702.16x = 141,868,691,654.75
  5. Step 5: Solve for x
    x = 141,868,691,654.75/431,702.16
  6. Step 6: Final answer
    x = 328,626.32

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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.