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Finding the Fourth Proportional to 409,706.32, 614,552.19 and 156,918.28

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Solution

The fourth proportional to 409,706.32, 614,552.19 and 156,918.28 is: 235,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,706.32 : 614,552.19 = 156,918.28 : x
  2. Step 2: Convert to fraction form
    409,706.32/614,552.19 = 156,918.28/x
  3. Step 3: Cross multiply
    409,706.32x = 614,552.19 × 156,918.28
  4. Step 4: Simplify right side
    409,706.32x = 96,434,472,093.83
  5. Step 5: Solve for x
    x = 96,434,472,093.83/409,706.32
  6. Step 6: Final answer
    x = 235,374.63

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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.