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Finding the Fourth Proportional to 520,222.80, 780,139.80 and 361,981.20

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Solution

The fourth proportional to 520,222.80, 780,139.80 and 361,981.20 is: 542,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,222.80 : 780,139.80 = 361,981.20 : x
  2. Step 2: Convert to fraction form
    520,222.80/780,139.80 = 361,981.20/x
  3. Step 3: Cross multiply
    520,222.80x = 780,139.80 × 361,981.20
  4. Step 4: Simplify right side
    520,222.80x = 282,395,940,971.76
  5. Step 5: Solve for x
    x = 282,395,940,971.76/520,222.80
  6. Step 6: Final answer
    x = 542,836.53

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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.