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Finding the Fourth Proportional to 289,189.64, 399,025 and 181,697.40

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Solution

The fourth proportional to 289,189.64, 399,025 and 181,697.40 is: 250,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,189.64 : 399,025 = 181,697.40 : x
  2. Step 2: Convert to fraction form
    289,189.64/399,025 = 181,697.40/x
  3. Step 3: Cross multiply
    289,189.64x = 399,025 × 181,697.40
  4. Step 4: Simplify right side
    289,189.64x = 72,501,805,035
  5. Step 5: Solve for x
    x = 72,501,805,035/289,189.64
  6. Step 6: Final answer
    x = 250,706.79

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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.