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Finding the Fourth Proportional to 242,014.60, 363,021.90 and 232,829.20

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Solution

The fourth proportional to 242,014.60, 363,021.90 and 232,829.20 is: 349,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,014.60 : 363,021.90 = 232,829.20 : x
  2. Step 2: Convert to fraction form
    242,014.60/363,021.90 = 232,829.20/x
  3. Step 3: Cross multiply
    242,014.60x = 363,021.90 × 232,829.20
  4. Step 4: Simplify right side
    242,014.60x = 84,522,098,559.48
  5. Step 5: Solve for x
    x = 84,522,098,559.48/242,014.60
  6. Step 6: Final answer
    x = 349,243.80

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1.5x scale

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.