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Finding the Fourth Proportional to 462,565.48, 638,269.86 and 261,288.04

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Solution

The fourth proportional to 462,565.48, 638,269.86 and 261,288.04 is: 360,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,565.48 : 638,269.86 = 261,288.04 : x
  2. Step 2: Convert to fraction form
    462,565.48/638,269.86 = 261,288.04/x
  3. Step 3: Cross multiply
    462,565.48x = 638,269.86 × 261,288.04
  4. Step 4: Simplify right side
    462,565.48x = 166,772,280,710.47
  5. Step 5: Solve for x
    x = 166,772,280,710.47/462,565.48
  6. Step 6: Final answer
    x = 360,537.67

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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.