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Finding the Fourth Proportional to 466,371.40, 695,919.68 and 416,105.90

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Solution

The fourth proportional to 466,371.40, 695,919.68 and 416,105.90 is: 620,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,371.40 : 695,919.68 = 416,105.90 : x
  2. Step 2: Convert to fraction form
    466,371.40/695,919.68 = 416,105.90/x
  3. Step 3: Cross multiply
    466,371.40x = 695,919.68 × 416,105.90
  4. Step 4: Simplify right side
    466,371.40x = 289,576,284,774.11
  5. Step 5: Solve for x
    x = 289,576,284,774.11/466,371.40
  6. Step 6: Final answer
    x = 620,913.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.