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Finding the Fourth Proportional to 296,126.64, 408,560.94 and 181,285.20

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Solution

The fourth proportional to 296,126.64, 408,560.94 and 181,285.20 is: 250,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,126.64 : 408,560.94 = 181,285.20 : x
  2. Step 2: Convert to fraction form
    296,126.64/408,560.94 = 181,285.20/x
  3. Step 3: Cross multiply
    296,126.64x = 408,560.94 × 181,285.20
  4. Step 4: Simplify right side
    296,126.64x = 74,066,051,720.09
  5. Step 5: Solve for x
    x = 74,066,051,720.09/296,126.64
  6. Step 6: Final answer
    x = 250,116.14

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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.