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Finding the Fourth Proportional to 802,414.38, 1,106,686.17 and 705,410.83

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Solution

The fourth proportional to 802,414.38, 1,106,686.17 and 705,410.83 is: 972,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,414.38 : 1,106,686.17 = 705,410.83 : x
  2. Step 2: Convert to fraction form
    802,414.38/1,106,686.17 = 705,410.83/x
  3. Step 3: Cross multiply
    802,414.38x = 1,106,686.17 × 705,410.83
  4. Step 4: Simplify right side
    802,414.38x = 780,668,409,729.22
  5. Step 5: Solve for x
    x = 780,668,409,729.22/802,414.38
  6. Step 6: Final answer
    x = 972,899.33

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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.