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Finding the Fourth Proportional to 402,441.60, 604,051.20 and 244,977.60

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Solution

The fourth proportional to 402,441.60, 604,051.20 and 244,977.60 is: 367,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,441.60 : 604,051.20 = 244,977.60 : x
  2. Step 2: Convert to fraction form
    402,441.60/604,051.20 = 244,977.60/x
  3. Step 3: Cross multiply
    402,441.60x = 604,051.20 × 244,977.60
  4. Step 4: Simplify right side
    402,441.60x = 147,979,013,253.12
  5. Step 5: Solve for x
    x = 147,979,013,253.12/402,441.60
  6. Step 6: Final answer
    x = 367,703.07

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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.