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Finding the Fourth Proportional to 614,516.28, 921,774.44 and 193,824.96

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Solution

The fourth proportional to 614,516.28, 921,774.44 and 193,824.96 is: 290,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,516.28 : 921,774.44 = 193,824.96 : x
  2. Step 2: Convert to fraction form
    614,516.28/921,774.44 = 193,824.96/x
  3. Step 3: Cross multiply
    614,516.28x = 921,774.44 × 193,824.96
  4. Step 4: Simplify right side
    614,516.28x = 178,662,893,962.02
  5. Step 5: Solve for x
    x = 178,662,893,962.02/614,516.28
  6. Step 6: Final answer
    x = 290,737.45

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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.