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Finding the Fourth Proportional to 497,407.11, 745,556.63 and 197,807.55

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Solution

The fourth proportional to 497,407.11, 745,556.63 and 197,807.55 is: 296,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,407.11 : 745,556.63 = 197,807.55 : x
  2. Step 2: Convert to fraction form
    497,407.11/745,556.63 = 197,807.55/x
  3. Step 3: Cross multiply
    497,407.11x = 745,556.63 × 197,807.55
  4. Step 4: Simplify right side
    497,407.11x = 147,476,729,377.52
  5. Step 5: Solve for x
    x = 147,476,729,377.52/497,407.11
  6. Step 6: Final answer
    x = 296,491.00

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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.