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Finding the Fourth Proportional to 594,456.14, 820,363.65 and 339,831.02

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Solution

The fourth proportional to 594,456.14, 820,363.65 and 339,831.02 is: 468,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,456.14 : 820,363.65 = 339,831.02 : x
  2. Step 2: Convert to fraction form
    594,456.14/820,363.65 = 339,831.02/x
  3. Step 3: Cross multiply
    594,456.14x = 820,363.65 × 339,831.02
  4. Step 4: Simplify right side
    594,456.14x = 278,785,015,950.42
  5. Step 5: Solve for x
    x = 278,785,015,950.42/594,456.14
  6. Step 6: Final answer
    x = 468,974.91

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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.