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Finding the Fourth Proportional to 307,009.40, 460,082.10 and 243,937.40

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Solution

The fourth proportional to 307,009.40, 460,082.10 and 243,937.40 is: 365,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,009.40 : 460,082.10 = 243,937.40 : x
  2. Step 2: Convert to fraction form
    307,009.40/460,082.10 = 243,937.40/x
  3. Step 3: Cross multiply
    307,009.40x = 460,082.10 × 243,937.40
  4. Step 4: Simplify right side
    307,009.40x = 112,231,231,260.54
  5. Step 5: Solve for x
    x = 112,231,231,260.54/307,009.40
  6. Step 6: Final answer
    x = 365,562.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.