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Finding the Fourth Proportional to 497,322.36, 745,982.87 and 230,937.21

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Solution

The fourth proportional to 497,322.36, 745,982.87 and 230,937.21 is: 346,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,322.36 : 745,982.87 = 230,937.21 : x
  2. Step 2: Convert to fraction form
    497,322.36/745,982.87 = 230,937.21/x
  3. Step 3: Cross multiply
    497,322.36x = 745,982.87 × 230,937.21
  4. Step 4: Simplify right side
    497,322.36x = 172,275,201,550.91
  5. Step 5: Solve for x
    x = 172,275,201,550.91/497,322.36
  6. Step 6: Final answer
    x = 346,405.50

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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.