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Finding the Fourth Proportional to 472,425.60, 708,681.60 and 191,884.80

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Solution

The fourth proportional to 472,425.60, 708,681.60 and 191,884.80 is: 287,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,425.60 : 708,681.60 = 191,884.80 : x
  2. Step 2: Convert to fraction form
    472,425.60/708,681.60 = 191,884.80/x
  3. Step 3: Cross multiply
    472,425.60x = 708,681.60 × 191,884.80
  4. Step 4: Simplify right side
    472,425.60x = 135,985,227,079.68
  5. Step 5: Solve for x
    x = 135,985,227,079.68/472,425.60
  6. Step 6: Final answer
    x = 287,844.75

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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.