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Finding the Fourth Proportional to 754,767, 1,041,578.46 and 415,227.96

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Solution

The fourth proportional to 754,767, 1,041,578.46 and 415,227.96 is: 573,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,767 : 1,041,578.46 = 415,227.96 : x
  2. Step 2: Convert to fraction form
    754,767/1,041,578.46 = 415,227.96/x
  3. Step 3: Cross multiply
    754,767x = 1,041,578.46 × 415,227.96
  4. Step 4: Simplify right side
    754,767x = 432,492,499,125.74
  5. Step 5: Solve for x
    x = 432,492,499,125.74/754,767
  6. Step 6: Final answer
    x = 573,014.58

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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.