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Finding the Fourth Proportional to 442,741.60, 664,112.40 and 176,543.20

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Solution

The fourth proportional to 442,741.60, 664,112.40 and 176,543.20 is: 264,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,741.60 : 664,112.40 = 176,543.20 : x
  2. Step 2: Convert to fraction form
    442,741.60/664,112.40 = 176,543.20/x
  3. Step 3: Cross multiply
    442,741.60x = 664,112.40 × 176,543.20
  4. Step 4: Simplify right side
    442,741.60x = 117,244,528,255.68
  5. Step 5: Solve for x
    x = 117,244,528,255.68/442,741.60
  6. Step 6: Final answer
    x = 264,814.80

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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.