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Finding the Fourth Proportional to 497,976.76, 745,703.54 and 308,806.52

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Solution

The fourth proportional to 497,976.76, 745,703.54 and 308,806.52 is: 462,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,976.76 : 745,703.54 = 308,806.52 : x
  2. Step 2: Convert to fraction form
    497,976.76/745,703.54 = 308,806.52/x
  3. Step 3: Cross multiply
    497,976.76x = 745,703.54 × 308,806.52
  4. Step 4: Simplify right side
    497,976.76x = 230,278,115,139.08
  5. Step 5: Solve for x
    x = 230,278,115,139.08/497,976.76
  6. Step 6: Final answer
    x = 462,427.43

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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.