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Finding the Fourth Proportional to 242,005.60, 363,008.40 and 232,820.20

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Solution

The fourth proportional to 242,005.60, 363,008.40 and 232,820.20 is: 349,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,005.60 : 363,008.40 = 232,820.20 : x
  2. Step 2: Convert to fraction form
    242,005.60/363,008.40 = 232,820.20/x
  3. Step 3: Cross multiply
    242,005.60x = 363,008.40 × 232,820.20
  4. Step 4: Simplify right side
    242,005.60x = 84,515,688,289.68
  5. Step 5: Solve for x
    x = 84,515,688,289.68/242,005.60
  6. Step 6: Final answer
    x = 349,230.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.