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Finding the Fourth Proportional to 838,333.78, 1,156,906.02 and 456,360.46

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Solution

The fourth proportional to 838,333.78, 1,156,906.02 and 456,360.46 is: 629,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,333.78 : 1,156,906.02 = 456,360.46 : x
  2. Step 2: Convert to fraction form
    838,333.78/1,156,906.02 = 456,360.46/x
  3. Step 3: Cross multiply
    838,333.78x = 1,156,906.02 × 456,360.46
  4. Step 4: Simplify right side
    838,333.78x = 527,966,163,463.97
  5. Step 5: Solve for x
    x = 527,966,163,463.97/838,333.78
  6. Step 6: Final answer
    x = 629,780.38

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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.