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Finding the Fourth Proportional to 282,501.74, 423,753.30 and 69,270.59

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Solution

The fourth proportional to 282,501.74, 423,753.30 and 69,270.59 is: 103,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,501.74 : 423,753.30 = 69,270.59 : x
  2. Step 2: Convert to fraction form
    282,501.74/423,753.30 = 69,270.59/x
  3. Step 3: Cross multiply
    282,501.74x = 423,753.30 × 69,270.59
  4. Step 4: Simplify right side
    282,501.74x = 29,353,641,105.45
  5. Step 5: Solve for x
    x = 29,353,641,105.45/282,501.74
  6. Step 6: Final answer
    x = 103,906.05

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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.