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Finding the Fourth Proportional to 1,314,109.40, 1,971,941.70 and 866,125.40

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Solution

The fourth proportional to 1,314,109.40, 1,971,941.70 and 866,125.40 is: 1,299,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,109.40 : 1,971,941.70 = 866,125.40 : x
  2. Step 2: Convert to fraction form
    1,314,109.40/1,971,941.70 = 866,125.40/x
  3. Step 3: Cross multiply
    1,314,109.40x = 1,971,941.70 × 866,125.40
  4. Step 4: Simplify right side
    1,314,109.40x = 1,707,948,793,689.18
  5. Step 5: Solve for x
    x = 1,707,948,793,689.18/1,314,109.40
  6. Step 6: Final answer
    x = 1,299,700.61

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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.