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Finding the Fourth Proportional to 523,323.60, 786,151.80 and 502,069.20

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Solution

The fourth proportional to 523,323.60, 786,151.80 and 502,069.20 is: 754,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,323.60 : 786,151.80 = 502,069.20 : x
  2. Step 2: Convert to fraction form
    523,323.60/786,151.80 = 502,069.20/x
  3. Step 3: Cross multiply
    523,323.60x = 786,151.80 × 502,069.20
  4. Step 4: Simplify right side
    523,323.60x = 394,702,605,304.56
  5. Step 5: Solve for x
    x = 394,702,605,304.56/523,323.60
  6. Step 6: Final answer
    x = 754,222.83

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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.