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Finding the Fourth Proportional to 463,427.80, 695,141.70 and 413,564.20

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Solution

The fourth proportional to 463,427.80, 695,141.70 and 413,564.20 is: 620,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,427.80 : 695,141.70 = 413,564.20 : x
  2. Step 2: Convert to fraction form
    463,427.80/695,141.70 = 413,564.20/x
  3. Step 3: Cross multiply
    463,427.80x = 695,141.70 × 413,564.20
  4. Step 4: Simplify right side
    463,427.80x = 287,485,721,047.14
  5. Step 5: Solve for x
    x = 287,485,721,047.14/463,427.80
  6. Step 6: Final answer
    x = 620,346.30

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Similar ratio
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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.