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Finding the Fourth Proportional to 414,612.90, 572,114.88 and 261,593.37

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Solution

The fourth proportional to 414,612.90, 572,114.88 and 261,593.37 is: 360,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,612.90 : 572,114.88 = 261,593.37 : x
  2. Step 2: Convert to fraction form
    414,612.90/572,114.88 = 261,593.37/x
  3. Step 3: Cross multiply
    414,612.90x = 572,114.88 × 261,593.37
  4. Step 4: Simplify right side
    414,612.90x = 149,661,459,486.35
  5. Step 5: Solve for x
    x = 149,661,459,486.35/414,612.90
  6. Step 6: Final answer
    x = 360,966.72

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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.