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Finding the Fourth Proportional to 491,209.56, 736,814.34 and 175,647.33

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Solution

The fourth proportional to 491,209.56, 736,814.34 and 175,647.33 is: 263,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,209.56 : 736,814.34 = 175,647.33 : x
  2. Step 2: Convert to fraction form
    491,209.56/736,814.34 = 175,647.33/x
  3. Step 3: Cross multiply
    491,209.56x = 736,814.34 × 175,647.33
  4. Step 4: Simplify right side
    491,209.56x = 129,419,471,526.71
  5. Step 5: Solve for x
    x = 129,419,471,526.71/491,209.56
  6. Step 6: Final answer
    x = 263,471.00

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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.