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Finding the Fourth Proportional to 614,867.90, 922,275.67 and 210,096.47

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Solution

The fourth proportional to 614,867.90, 922,275.67 and 210,096.47 is: 315,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,867.90 : 922,275.67 = 210,096.47 : x
  2. Step 2: Convert to fraction form
    614,867.90/922,275.67 = 210,096.47/x
  3. Step 3: Cross multiply
    614,867.90x = 922,275.67 × 210,096.47
  4. Step 4: Simplify right side
    614,867.90x = 193,766,859,620.46
  5. Step 5: Solve for x
    x = 193,766,859,620.46/614,867.90
  6. Step 6: Final answer
    x = 315,135.76

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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.