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Finding the Fourth Proportional to 364,822.95, 547,236.25 and 164,909.28

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Solution

The fourth proportional to 364,822.95, 547,236.25 and 164,909.28 is: 247,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,822.95 : 547,236.25 = 164,909.28 : x
  2. Step 2: Convert to fraction form
    364,822.95/547,236.25 = 164,909.28/x
  3. Step 3: Cross multiply
    364,822.95x = 547,236.25 × 164,909.28
  4. Step 4: Simplify right side
    364,822.95x = 90,244,335,565.13
  5. Step 5: Solve for x
    x = 90,244,335,565.13/364,822.95
  6. Step 6: Final answer
    x = 247,364.74

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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.