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Finding the Fourth Proportional to 282,602.18, 389,723.27 and 185,635.46

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Solution

The fourth proportional to 282,602.18, 389,723.27 and 185,635.46 is: 256,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,602.18 : 389,723.27 = 185,635.46 : x
  2. Step 2: Convert to fraction form
    282,602.18/389,723.27 = 185,635.46/x
  3. Step 3: Cross multiply
    282,602.18x = 389,723.27 × 185,635.46
  4. Step 4: Simplify right side
    282,602.18x = 72,346,458,545.29
  5. Step 5: Solve for x
    x = 72,346,458,545.29/282,602.18
  6. Step 6: Final answer
    x = 256,001.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.