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Finding the Fourth Proportional to 414,615.40, 572,118.33 and 261,595.87

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Solution

The fourth proportional to 414,615.40, 572,118.33 and 261,595.87 is: 360,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,615.40 : 572,118.33 = 261,595.87 : x
  2. Step 2: Convert to fraction form
    414,615.40/572,118.33 = 261,595.87/x
  3. Step 3: Cross multiply
    414,615.40x = 572,118.33 × 261,595.87
  4. Step 4: Simplify right side
    414,615.40x = 149,663,792,279.30
  5. Step 5: Solve for x
    x = 149,663,792,279.30/414,615.40
  6. Step 6: Final answer
    x = 360,970.17

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1.5x scale

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.