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Finding the Fourth Proportional to 517,264.75, 713,718.33 and 302,363.23

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Solution

The fourth proportional to 517,264.75, 713,718.33 and 302,363.23 is: 417,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,264.75 : 713,718.33 = 302,363.23 : x
  2. Step 2: Convert to fraction form
    517,264.75/713,718.33 = 302,363.23/x
  3. Step 3: Cross multiply
    517,264.75x = 713,718.33 × 302,363.23
  4. Step 4: Simplify right side
    517,264.75x = 215,802,179,569.01
  5. Step 5: Solve for x
    x = 215,802,179,569.01/517,264.75
  6. Step 6: Final answer
    x = 417,198.70

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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.