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Finding the Fourth Proportional to 442,904.80, 664,648.80 and 253,364.80

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Solution

The fourth proportional to 442,904.80, 664,648.80 and 253,364.80 is: 380,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,904.80 : 664,648.80 = 253,364.80 : x
  2. Step 2: Convert to fraction form
    442,904.80/664,648.80 = 253,364.80/x
  3. Step 3: Cross multiply
    442,904.80x = 664,648.80 × 253,364.80
  4. Step 4: Simplify right side
    442,904.80x = 168,398,610,282.24
  5. Step 5: Solve for x
    x = 168,398,610,282.24/442,904.80
  6. Step 6: Final answer
    x = 380,214.01

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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.