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Finding the Fourth Proportional to 463,892.80, 696,069.60 and 183,419.20

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Solution

The fourth proportional to 463,892.80, 696,069.60 and 183,419.20 is: 275,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,892.80 : 696,069.60 = 183,419.20 : x
  2. Step 2: Convert to fraction form
    463,892.80/696,069.60 = 183,419.20/x
  3. Step 3: Cross multiply
    463,892.80x = 696,069.60 × 183,419.20
  4. Step 4: Simplify right side
    463,892.80x = 127,672,529,176.32
  5. Step 5: Solve for x
    x = 127,672,529,176.32/463,892.80
  6. Step 6: Final answer
    x = 275,219.90

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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.