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Finding the Fourth Proportional to 442,725.60, 664,088.40 and 176,527.20

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Solution

The fourth proportional to 442,725.60, 664,088.40 and 176,527.20 is: 264,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,725.60 : 664,088.40 = 176,527.20 : x
  2. Step 2: Convert to fraction form
    442,725.60/664,088.40 = 176,527.20/x
  3. Step 3: Cross multiply
    442,725.60x = 664,088.40 × 176,527.20
  4. Step 4: Simplify right side
    442,725.60x = 117,229,665,804.48
  5. Step 5: Solve for x
    x = 117,229,665,804.48/442,725.60
  6. Step 6: Final answer
    x = 264,790.80

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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.