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Finding the Fourth Proportional to 424,553.16, 585,878.52 and 316,142.44

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Solution

The fourth proportional to 424,553.16, 585,878.52 and 316,142.44 is: 436,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,553.16 : 585,878.52 = 316,142.44 : x
  2. Step 2: Convert to fraction form
    424,553.16/585,878.52 = 316,142.44/x
  3. Step 3: Cross multiply
    424,553.16x = 585,878.52 × 316,142.44
  4. Step 4: Simplify right side
    424,553.16x = 185,221,064,856.39
  5. Step 5: Solve for x
    x = 185,221,064,856.39/424,553.16
  6. Step 6: Final answer
    x = 436,272.96

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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.