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Finding the Fourth Proportional to 437,238.10, 655,857.15 and 156,783.70

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Solution

The fourth proportional to 437,238.10, 655,857.15 and 156,783.70 is: 235,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,238.10 : 655,857.15 = 156,783.70 : x
  2. Step 2: Convert to fraction form
    437,238.10/655,857.15 = 156,783.70/x
  3. Step 3: Cross multiply
    437,238.10x = 655,857.15 × 156,783.70
  4. Step 4: Simplify right side
    437,238.10x = 102,827,710,648.46
  5. Step 5: Solve for x
    x = 102,827,710,648.46/437,238.10
  6. Step 6: Final answer
    x = 235,175.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.