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Finding the Fourth Proportional to 296,545.07, 409,239.14 and 169,232.51

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Solution

The fourth proportional to 296,545.07, 409,239.14 and 169,232.51 is: 233,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,545.07 : 409,239.14 = 169,232.51 : x
  2. Step 2: Convert to fraction form
    296,545.07/409,239.14 = 169,232.51/x
  3. Step 3: Cross multiply
    296,545.07x = 409,239.14 × 169,232.51
  4. Step 4: Simplify right side
    296,545.07x = 69,256,567,029.38
  5. Step 5: Solve for x
    x = 69,256,567,029.38/296,545.07
  6. Step 6: Final answer
    x = 233,544.82

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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.