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Finding the Fourth Proportional to 459,414.71, 634,006.01 and 278,159.80

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Solution

The fourth proportional to 459,414.71, 634,006.01 and 278,159.80 is: 383,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,414.71 : 634,006.01 = 278,159.80 : x
  2. Step 2: Convert to fraction form
    459,414.71/634,006.01 = 278,159.80/x
  3. Step 3: Cross multiply
    459,414.71x = 634,006.01 × 278,159.80
  4. Step 4: Simplify right side
    459,414.71x = 176,354,984,940.40
  5. Step 5: Solve for x
    x = 176,354,984,940.40/459,414.71
  6. Step 6: Final answer
    x = 383,868.83

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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.