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Finding the Fourth Proportional to 342,644.16, 472,841.44 and 187,595.16

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Solution

The fourth proportional to 342,644.16, 472,841.44 and 187,595.16 is: 258,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,644.16 : 472,841.44 = 187,595.16 : x
  2. Step 2: Convert to fraction form
    342,644.16/472,841.44 = 187,595.16/x
  3. Step 3: Cross multiply
    342,644.16x = 472,841.44 × 187,595.16
  4. Step 4: Simplify right side
    342,644.16x = 88,702,765,591.43
  5. Step 5: Solve for x
    x = 88,702,765,591.43/342,644.16
  6. Step 6: Final answer
    x = 258,877.21

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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.