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Finding the Fourth Proportional to 316,246.06, 474,524.95 and 147,778.01

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Solution

The fourth proportional to 316,246.06, 474,524.95 and 147,778.01 is: 221,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,246.06 : 474,524.95 = 147,778.01 : x
  2. Step 2: Convert to fraction form
    316,246.06/474,524.95 = 147,778.01/x
  3. Step 3: Cross multiply
    316,246.06x = 474,524.95 × 147,778.01
  4. Step 4: Simplify right side
    316,246.06x = 70,124,352,806.35
  5. Step 5: Solve for x
    x = 70,124,352,806.35/316,246.06
  6. Step 6: Final answer
    x = 221,739.85

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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.