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Finding the Fourth Proportional to 613,114.31, 918,342.24 and 296,908.13

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Solution

The fourth proportional to 613,114.31, 918,342.24 and 296,908.13 is: 444,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,114.31 : 918,342.24 = 296,908.13 : x
  2. Step 2: Convert to fraction form
    613,114.31/918,342.24 = 296,908.13/x
  3. Step 3: Cross multiply
    613,114.31x = 918,342.24 × 296,908.13
  4. Step 4: Simplify right side
    613,114.31x = 272,663,277,178.41
  5. Step 5: Solve for x
    x = 272,663,277,178.41/613,114.31
  6. Step 6: Final answer
    x = 444,718.50

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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.