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Finding the Fourth Proportional to 648,103.20, 972,154.80 and 448,648.80

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Solution

The fourth proportional to 648,103.20, 972,154.80 and 448,648.80 is: 672,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,103.20 : 972,154.80 = 448,648.80 : x
  2. Step 2: Convert to fraction form
    648,103.20/972,154.80 = 448,648.80/x
  3. Step 3: Cross multiply
    648,103.20x = 972,154.80 × 448,648.80
  4. Step 4: Simplify right side
    648,103.20x = 436,156,084,434.24
  5. Step 5: Solve for x
    x = 436,156,084,434.24/648,103.20
  6. Step 6: Final answer
    x = 672,973.20

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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.