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Finding the Fourth Proportional to 497,295.93, 745,949.10 and 398,086.77

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Solution

The fourth proportional to 497,295.93, 745,949.10 and 398,086.77 is: 597,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,295.93 : 745,949.10 = 398,086.77 : x
  2. Step 2: Convert to fraction form
    497,295.93/745,949.10 = 398,086.77/x
  3. Step 3: Cross multiply
    497,295.93x = 745,949.10 × 398,086.77
  4. Step 4: Simplify right side
    497,295.93x = 296,952,470,663.50
  5. Step 5: Solve for x
    x = 296,952,470,663.50/497,295.93
  6. Step 6: Final answer
    x = 597,134.33

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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.