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Finding the Fourth Proportional to 1,314,584.70, 1,971,877.05 and 865,812.30

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Solution

The fourth proportional to 1,314,584.70, 1,971,877.05 and 865,812.30 is: 1,298,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,584.70 : 1,971,877.05 = 865,812.30 : x
  2. Step 2: Convert to fraction form
    1,314,584.70/1,971,877.05 = 865,812.30/x
  3. Step 3: Cross multiply
    1,314,584.70x = 1,971,877.05 × 865,812.30
  4. Step 4: Simplify right side
    1,314,584.70x = 1,707,275,403,977.72
  5. Step 5: Solve for x
    x = 1,707,275,403,977.72/1,314,584.70
  6. Step 6: Final answer
    x = 1,298,718.45

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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.