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Finding the Fourth Proportional to 414,542.80, 572,017.63 and 261,523.00

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Solution

The fourth proportional to 414,542.80, 572,017.63 and 261,523.00 is: 360,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.80 : 572,017.63 = 261,523.00 : x
  2. Step 2: Convert to fraction form
    414,542.80/572,017.63 = 261,523.00/x
  3. Step 3: Cross multiply
    414,542.80x = 572,017.63 × 261,523.00
  4. Step 4: Simplify right side
    414,542.80x = 149,595,762,482.79
  5. Step 5: Solve for x
    x = 149,595,762,482.79/414,542.80
  6. Step 6: Final answer
    x = 360,869.29

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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.