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Finding the Fourth Proportional to 456,324.16, 685,082.40 and 366,414.88

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Solution

The fourth proportional to 456,324.16, 685,082.40 and 366,414.88 is: 550,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,324.16 : 685,082.40 = 366,414.88 : x
  2. Step 2: Convert to fraction form
    456,324.16/685,082.40 = 366,414.88/x
  3. Step 3: Cross multiply
    456,324.16x = 685,082.40 × 366,414.88
  4. Step 4: Simplify right side
    456,324.16x = 251,024,385,386.11
  5. Step 5: Solve for x
    x = 251,024,385,386.11/456,324.16
  6. Step 6: Final answer
    x = 550,101.02

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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.