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Finding the Fourth Proportional to 802,124, 1,202,385.36 and 401,541.92

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Solution

The fourth proportional to 802,124, 1,202,385.36 and 401,541.92 is: 601,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,124 : 1,202,385.36 = 401,541.92 : x
  2. Step 2: Convert to fraction form
    802,124/1,202,385.36 = 401,541.92/x
  3. Step 3: Cross multiply
    802,124x = 1,202,385.36 × 401,541.92
  4. Step 4: Simplify right side
    802,124x = 482,808,126,034.29
  5. Step 5: Solve for x
    x = 482,808,126,034.29/802,124
  6. Step 6: Final answer
    x = 601,912.08

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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.