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Finding the Fourth Proportional to 309,298.51, 463,616.07 and 202,642.17

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Solution

The fourth proportional to 309,298.51, 463,616.07 and 202,642.17 is: 303,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,298.51 : 463,616.07 = 202,642.17 : x
  2. Step 2: Convert to fraction form
    309,298.51/463,616.07 = 202,642.17/x
  3. Step 3: Cross multiply
    309,298.51x = 463,616.07 × 202,642.17
  4. Step 4: Simplify right side
    309,298.51x = 93,948,166,471.67
  5. Step 5: Solve for x
    x = 93,948,166,471.67/309,298.51
  6. Step 6: Final answer
    x = 303,745.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.