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Finding the Fourth Proportional to 578,375.16, 866,053.71 and 465,438.48

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Solution

The fourth proportional to 578,375.16, 866,053.71 and 465,438.48 is: 696,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,375.16 : 866,053.71 = 465,438.48 : x
  2. Step 2: Convert to fraction form
    578,375.16/866,053.71 = 465,438.48/x
  3. Step 3: Cross multiply
    578,375.16x = 866,053.71 × 465,438.48
  4. Step 4: Simplify right side
    578,375.16x = 403,094,722,380.76
  5. Step 5: Solve for x
    x = 403,094,722,380.76/578,375.16
  6. Step 6: Final answer
    x = 696,943.35

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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.