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Finding the Fourth Proportional to 670,838.76, 1,006,724.70 and 433,593

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Solution

The fourth proportional to 670,838.76, 1,006,724.70 and 433,593 is: 650,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,838.76 : 1,006,724.70 = 433,593 : x
  2. Step 2: Convert to fraction form
    670,838.76/1,006,724.70 = 433,593/x
  3. Step 3: Cross multiply
    670,838.76x = 1,006,724.70 × 433,593
  4. Step 4: Simplify right side
    670,838.76x = 436,508,782,847.10
  5. Step 5: Solve for x
    x = 436,508,782,847.10/670,838.76
  6. Step 6: Final answer
    x = 650,691.06

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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.