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Finding the Fourth Proportional to 653,451.88, 901,372.38 and 411,314.12

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Solution

The fourth proportional to 653,451.88, 901,372.38 and 411,314.12 is: 567,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,451.88 : 901,372.38 = 411,314.12 : x
  2. Step 2: Convert to fraction form
    653,451.88/901,372.38 = 411,314.12/x
  3. Step 3: Cross multiply
    653,451.88x = 901,372.38 × 411,314.12
  4. Step 4: Simplify right side
    653,451.88x = 370,747,187,272.01
  5. Step 5: Solve for x
    x = 370,747,187,272.01/653,451.88
  6. Step 6: Final answer
    x = 567,367.24

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Double scale
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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.