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Finding the Fourth Proportional to 612,042.30, 918,193.05 and 185,543.10

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Solution

The fourth proportional to 612,042.30, 918,193.05 and 185,543.10 is: 278,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,042.30 : 918,193.05 = 185,543.10 : x
  2. Step 2: Convert to fraction form
    612,042.30/918,193.05 = 185,543.10/x
  3. Step 3: Cross multiply
    612,042.30x = 918,193.05 × 185,543.10
  4. Step 4: Simplify right side
    612,042.30x = 170,364,384,895.46
  5. Step 5: Solve for x
    x = 170,364,384,895.46/612,042.30
  6. Step 6: Final answer
    x = 278,353.94

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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.