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Finding the Fourth Proportional to 478,902.60, 718,253.10 and 242,022.60

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Solution

The fourth proportional to 478,902.60, 718,253.10 and 242,022.60 is: 362,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,902.60 : 718,253.10 = 242,022.60 : x
  2. Step 2: Convert to fraction form
    478,902.60/718,253.10 = 242,022.60/x
  3. Step 3: Cross multiply
    478,902.60x = 718,253.10 × 242,022.60
  4. Step 4: Simplify right side
    478,902.60x = 173,833,482,720.06
  5. Step 5: Solve for x
    x = 173,833,482,720.06/478,902.60
  6. Step 6: Final answer
    x = 362,982.96

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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.