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Finding the Fourth Proportional to 584,065.29, 805,857.79 and 342,217.92

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Solution

The fourth proportional to 584,065.29, 805,857.79 and 342,217.92 is: 472,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,065.29 : 805,857.79 = 342,217.92 : x
  2. Step 2: Convert to fraction form
    584,065.29/805,857.79 = 342,217.92/x
  3. Step 3: Cross multiply
    584,065.29x = 805,857.79 × 342,217.92
  4. Step 4: Simplify right side
    584,065.29x = 275,778,976,709.60
  5. Step 5: Solve for x
    x = 275,778,976,709.60/584,065.29
  6. Step 6: Final answer
    x = 472,171.49

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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.