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Finding the Fourth Proportional to 414,666.87, 572,269.22 and 233,396.16

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Solution

The fourth proportional to 414,666.87, 572,269.22 and 233,396.16 is: 322,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,666.87 : 572,269.22 = 233,396.16 : x
  2. Step 2: Convert to fraction form
    414,666.87/572,269.22 = 233,396.16/x
  3. Step 3: Cross multiply
    414,666.87x = 572,269.22 × 233,396.16
  4. Step 4: Simplify right side
    414,666.87x = 133,565,438,434.20
  5. Step 5: Solve for x
    x = 133,565,438,434.20/414,666.87
  6. Step 6: Final answer
    x = 322,102.99

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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.