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Finding the Fourth Proportional to 375,294.26, 517,966.54 and 214,156.10

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Solution

The fourth proportional to 375,294.26, 517,966.54 and 214,156.10 is: 295,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,294.26 : 517,966.54 = 214,156.10 : x
  2. Step 2: Convert to fraction form
    375,294.26/517,966.54 = 214,156.10/x
  3. Step 3: Cross multiply
    375,294.26x = 517,966.54 × 214,156.10
  4. Step 4: Simplify right side
    375,294.26x = 110,925,694,136.89
  5. Step 5: Solve for x
    x = 110,925,694,136.89/375,294.26
  6. Step 6: Final answer
    x = 295,569.92

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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.