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Finding the Fourth Proportional to 1,314,491.80, 1,971,737.70 and 472,934.20

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Solution

The fourth proportional to 1,314,491.80, 1,971,737.70 and 472,934.20 is: 709,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,491.80 : 1,971,737.70 = 472,934.20 : x
  2. Step 2: Convert to fraction form
    1,314,491.80/1,971,737.70 = 472,934.20/x
  3. Step 3: Cross multiply
    1,314,491.80x = 1,971,737.70 × 472,934.20
  4. Step 4: Simplify right side
    1,314,491.80x = 932,502,191,759.34
  5. Step 5: Solve for x
    x = 932,502,191,759.34/1,314,491.80
  6. Step 6: Final answer
    x = 709,401.30

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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.