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Finding the Fourth Proportional to 1,472,502, 2,207,568.78 and 832,410.84

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Solution

The fourth proportional to 1,472,502, 2,207,568.78 and 832,410.84 is: 1,247,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,502 : 2,207,568.78 = 832,410.84 : x
  2. Step 2: Convert to fraction form
    1,472,502/2,207,568.78 = 832,410.84/x
  3. Step 3: Cross multiply
    1,472,502x = 2,207,568.78 × 832,410.84
  4. Step 4: Simplify right side
    1,472,502x = 1,837,604,182,517.58
  5. Step 5: Solve for x
    x = 1,837,604,182,517.58/1,472,502
  6. Step 6: Final answer
    x = 1,247,946.82

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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.