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Finding the Fourth Proportional to 705,919.88, 974,206.81 and 400,055.78

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Solution

The fourth proportional to 705,919.88, 974,206.81 and 400,055.78 is: 552,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,919.88 : 974,206.81 = 400,055.78 : x
  2. Step 2: Convert to fraction form
    705,919.88/974,206.81 = 400,055.78/x
  3. Step 3: Cross multiply
    705,919.88x = 974,206.81 × 400,055.78
  4. Step 4: Simplify right side
    705,919.88x = 389,737,068,191.45
  5. Step 5: Solve for x
    x = 389,737,068,191.45/705,919.88
  6. Step 6: Final answer
    x = 552,098.16

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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.