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Finding the Fourth Proportional to 596,547.60, 823,249.76 and 338,442

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Solution

The fourth proportional to 596,547.60, 823,249.76 and 338,442 is: 467,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,547.60 : 823,249.76 = 338,442 : x
  2. Step 2: Convert to fraction form
    596,547.60/823,249.76 = 338,442/x
  3. Step 3: Cross multiply
    596,547.60x = 823,249.76 × 338,442
  4. Step 4: Simplify right side
    596,547.60x = 278,622,295,273.92
  5. Step 5: Solve for x
    x = 278,622,295,273.92/596,547.60
  6. Step 6: Final answer
    x = 467,057.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.