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Finding the Fourth Proportional to 484,798.16, 727,230.40 and 164,819.76

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Solution

The fourth proportional to 484,798.16, 727,230.40 and 164,819.76 is: 247,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,798.16 : 727,230.40 = 164,819.76 : x
  2. Step 2: Convert to fraction form
    484,798.16/727,230.40 = 164,819.76/x
  3. Step 3: Cross multiply
    484,798.16x = 727,230.40 × 164,819.76
  4. Step 4: Simplify right side
    484,798.16x = 119,861,939,992.70
  5. Step 5: Solve for x
    x = 119,861,939,992.70/484,798.16
  6. Step 6: Final answer
    x = 247,240.91

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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.