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Finding the Fourth Proportional to 614,376.95, 921,565.28 and 193,652.69

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Solution

The fourth proportional to 614,376.95, 921,565.28 and 193,652.69 is: 290,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,376.95 : 921,565.28 = 193,652.69 : x
  2. Step 2: Convert to fraction form
    614,376.95/921,565.28 = 193,652.69/x
  3. Step 3: Cross multiply
    614,376.95x = 921,565.28 × 193,652.69
  4. Step 4: Simplify right side
    614,376.95x = 178,463,591,358.91
  5. Step 5: Solve for x
    x = 178,463,591,358.91/614,376.95
  6. Step 6: Final answer
    x = 290,478.98

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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.