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Finding the Fourth Proportional to 445,437.25, 668,142.92 and 164,948.29

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Solution

The fourth proportional to 445,437.25, 668,142.92 and 164,948.29 is: 247,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,437.25 : 668,142.92 = 164,948.29 : x
  2. Step 2: Convert to fraction form
    445,437.25/668,142.92 = 164,948.29/x
  3. Step 3: Cross multiply
    445,437.25x = 668,142.92 × 164,948.29
  4. Step 4: Simplify right side
    445,437.25x = 110,209,031,304.87
  5. Step 5: Solve for x
    x = 110,209,031,304.87/445,437.25
  6. Step 6: Final answer
    x = 247,417.64

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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.