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Finding the Fourth Proportional to 497,309.86, 745,964.11 and 230,924.71

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Solution

The fourth proportional to 497,309.86, 745,964.11 and 230,924.71 is: 346,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,309.86 : 745,964.11 = 230,924.71 : x
  2. Step 2: Convert to fraction form
    497,309.86/745,964.11 = 230,924.71/x
  3. Step 3: Cross multiply
    497,309.86x = 745,964.11 × 230,924.71
  4. Step 4: Simplify right side
    497,309.86x = 172,261,545,772.16
  5. Step 5: Solve for x
    x = 172,261,545,772.16/497,309.86
  6. Step 6: Final answer
    x = 346,386.75

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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.