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Finding the Fourth Proportional to 497,300.27, 745,955.60 and 398,091.14

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Solution

The fourth proportional to 497,300.27, 745,955.60 and 398,091.14 is: 597,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,300.27 : 745,955.60 = 398,091.14 : x
  2. Step 2: Convert to fraction form
    497,300.27/745,955.60 = 398,091.14/x
  3. Step 3: Cross multiply
    497,300.27x = 745,955.60 × 398,091.14
  4. Step 4: Simplify right side
    497,300.27x = 296,958,309,473.15
  5. Step 5: Solve for x
    x = 296,958,309,473.15/497,300.27
  6. Step 6: Final answer
    x = 597,140.86

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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.