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Finding the Fourth Proportional to 586,246.38, 809,021.49 and 317,974.38

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Solution

The fourth proportional to 586,246.38, 809,021.49 and 317,974.38 is: 438,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,246.38 : 809,021.49 = 317,974.38 : x
  2. Step 2: Convert to fraction form
    586,246.38/809,021.49 = 317,974.38/x
  3. Step 3: Cross multiply
    586,246.38x = 809,021.49 × 317,974.38
  4. Step 4: Simplify right side
    586,246.38x = 257,248,106,689.43
  5. Step 5: Solve for x
    x = 257,248,106,689.43/586,246.38
  6. Step 6: Final answer
    x = 438,805.45

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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.