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Finding the Fourth Proportional to 364,480.71, 546,658.75 and 98,178.95

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Solution

The fourth proportional to 364,480.71, 546,658.75 and 98,178.95 is: 147,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,480.71 : 546,658.75 = 98,178.95 : x
  2. Step 2: Convert to fraction form
    364,480.71/546,658.75 = 98,178.95/x
  3. Step 3: Cross multiply
    364,480.71x = 546,658.75 × 98,178.95
  4. Step 4: Simplify right side
    364,480.71x = 53,670,378,859.12
  5. Step 5: Solve for x
    x = 53,670,378,859.12/364,480.71
  6. Step 6: Final answer
    x = 147,251.63

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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.