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Finding the Fourth Proportional to 419,337.76, 628,913.76 and 134,952.16

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Solution

The fourth proportional to 419,337.76, 628,913.76 and 134,952.16 is: 202,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,337.76 : 628,913.76 = 134,952.16 : x
  2. Step 2: Convert to fraction form
    419,337.76/628,913.76 = 134,952.16/x
  3. Step 3: Cross multiply
    419,337.76x = 628,913.76 × 134,952.16
  4. Step 4: Simplify right side
    419,337.76x = 84,873,270,365.72
  5. Step 5: Solve for x
    x = 84,873,270,365.72/419,337.76
  6. Step 6: Final answer
    x = 202,398.35

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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.