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Finding the Fourth Proportional to 648,141.20, 972,211.80 and 448,686.80

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Solution

The fourth proportional to 648,141.20, 972,211.80 and 448,686.80 is: 673,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,141.20 : 972,211.80 = 448,686.80 : x
  2. Step 2: Convert to fraction form
    648,141.20/972,211.80 = 448,686.80/x
  3. Step 3: Cross multiply
    648,141.20x = 972,211.80 × 448,686.80
  4. Step 4: Simplify right side
    648,141.20x = 436,218,601,464.24
  5. Step 5: Solve for x
    x = 436,218,601,464.24/648,141.20
  6. Step 6: Final answer
    x = 673,030.20

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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.