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Finding the Fourth Proportional to 497,029.60, 745,641.60 and 197,459.20

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Solution

The fourth proportional to 497,029.60, 745,641.60 and 197,459.20 is: 296,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,029.60 : 745,641.60 = 197,459.20 : x
  2. Step 2: Convert to fraction form
    497,029.60/745,641.60 = 197,459.20/x
  3. Step 3: Cross multiply
    497,029.60x = 745,641.60 × 197,459.20
  4. Step 4: Simplify right side
    497,029.60x = 147,233,793,822.72
  5. Step 5: Solve for x
    x = 147,233,793,822.72/497,029.60
  6. Step 6: Final answer
    x = 296,227.42

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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.