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Finding the Fourth Proportional to 675,386.50, 1,012,576.72 and 409,082.80

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Solution

The fourth proportional to 675,386.50, 1,012,576.72 and 409,082.80 is: 613,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,386.50 : 1,012,576.72 = 409,082.80 : x
  2. Step 2: Convert to fraction form
    675,386.50/1,012,576.72 = 409,082.80/x
  3. Step 3: Cross multiply
    675,386.50x = 1,012,576.72 × 409,082.80
  4. Step 4: Simplify right side
    675,386.50x = 414,227,719,832.42
  5. Step 5: Solve for x
    x = 414,227,719,832.42/675,386.50
  6. Step 6: Final answer
    x = 613,319.51

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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.