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Finding the Fourth Proportional to 377,305.36, 565,763.28 and 111,031.30

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Solution

The fourth proportional to 377,305.36, 565,763.28 and 111,031.30 is: 166,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,305.36 : 565,763.28 = 111,031.30 : x
  2. Step 2: Convert to fraction form
    377,305.36/565,763.28 = 111,031.30/x
  3. Step 3: Cross multiply
    377,305.36x = 565,763.28 × 111,031.30
  4. Step 4: Simplify right side
    377,305.36x = 62,817,432,470.66
  5. Step 5: Solve for x
    x = 62,817,432,470.66/377,305.36
  6. Step 6: Final answer
    x = 166,489.64

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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.