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Finding the Fourth Proportional to 497,134.44, 745,799.13 and 197,559.18

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Solution

The fourth proportional to 497,134.44, 745,799.13 and 197,559.18 is: 296,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,134.44 : 745,799.13 = 197,559.18 : x
  2. Step 2: Convert to fraction form
    497,134.44/745,799.13 = 197,559.18/x
  3. Step 3: Cross multiply
    497,134.44x = 745,799.13 × 197,559.18
  4. Step 4: Simplify right side
    497,134.44x = 147,339,464,567.51
  5. Step 5: Solve for x
    x = 147,339,464,567.51/497,134.44
  6. Step 6: Final answer
    x = 296,377.50

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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.