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Finding the Fourth Proportional to 424,258.52, 585,565.80 and 269,109.50

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Solution

The fourth proportional to 424,258.52, 585,565.80 and 269,109.50 is: 371,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,258.52 : 585,565.80 = 269,109.50 : x
  2. Step 2: Convert to fraction form
    424,258.52/585,565.80 = 269,109.50/x
  3. Step 3: Cross multiply
    424,258.52x = 585,565.80 × 269,109.50
  4. Step 4: Simplify right side
    424,258.52x = 157,581,319,655.10
  5. Step 5: Solve for x
    x = 157,581,319,655.10/424,258.52
  6. Step 6: Final answer
    x = 371,427.59

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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.