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Finding the Fourth Proportional to 642,301.88, 963,415.76 and 193,013.10

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Solution

The fourth proportional to 642,301.88, 963,415.76 and 193,013.10 is: 289,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,301.88 : 963,415.76 = 193,013.10 : x
  2. Step 2: Convert to fraction form
    642,301.88/963,415.76 = 193,013.10/x
  3. Step 3: Cross multiply
    642,301.88x = 963,415.76 × 193,013.10
  4. Step 4: Simplify right side
    642,301.88x = 185,951,861,461.39
  5. Step 5: Solve for x
    x = 185,951,861,461.39/642,301.88
  6. Step 6: Final answer
    x = 289,508.51

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1.5x scale

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.