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Finding the Fourth Proportional to 688,366.16, 949,773.50 and 412,767.27

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Solution

The fourth proportional to 688,366.16, 949,773.50 and 412,767.27 is: 569,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,366.16 : 949,773.50 = 412,767.27 : x
  2. Step 2: Convert to fraction form
    688,366.16/949,773.50 = 412,767.27/x
  3. Step 3: Cross multiply
    688,366.16x = 949,773.50 × 412,767.27
  4. Step 4: Simplify right side
    688,366.16x = 392,035,414,197.39
  5. Step 5: Solve for x
    x = 392,035,414,197.39/688,366.16
  6. Step 6: Final answer
    x = 569,515.82

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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.