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Finding the Fourth Proportional to 542,825.20, 814,237.80 and 487,712.80

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Solution

The fourth proportional to 542,825.20, 814,237.80 and 487,712.80 is: 731,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,825.20 : 814,237.80 = 487,712.80 : x
  2. Step 2: Convert to fraction form
    542,825.20/814,237.80 = 487,712.80/x
  3. Step 3: Cross multiply
    542,825.20x = 814,237.80 × 487,712.80
  4. Step 4: Simplify right side
    542,825.20x = 397,114,197,303.84
  5. Step 5: Solve for x
    x = 397,114,197,303.84/542,825.20
  6. Step 6: Final answer
    x = 731,569.20

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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.