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Finding the Fourth Proportional to 389,148.76, 583,649.33 and 164,665.97

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Solution

The fourth proportional to 389,148.76, 583,649.33 and 164,665.97 is: 246,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,148.76 : 583,649.33 = 164,665.97 : x
  2. Step 2: Convert to fraction form
    389,148.76/583,649.33 = 164,665.97/x
  3. Step 3: Cross multiply
    389,148.76x = 583,649.33 × 164,665.97
  4. Step 4: Simplify right side
    389,148.76x = 96,107,182,437.65
  5. Step 5: Solve for x
    x = 96,107,182,437.65/389,148.76
  6. Step 6: Final answer
    x = 246,967.72

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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.