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Finding the Fourth Proportional to 972,000.20, 1,458,000.30 and 866,937.80

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Solution

The fourth proportional to 972,000.20, 1,458,000.30 and 866,937.80 is: 1,300,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,000.20 : 1,458,000.30 = 866,937.80 : x
  2. Step 2: Convert to fraction form
    972,000.20/1,458,000.30 = 866,937.80/x
  3. Step 3: Cross multiply
    972,000.20x = 1,458,000.30 × 866,937.80
  4. Step 4: Simplify right side
    972,000.20x = 1,263,995,572,481.34
  5. Step 5: Solve for x
    x = 1,263,995,572,481.34/972,000.20
  6. Step 6: Final answer
    x = 1,300,406.70

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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.