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Finding the Fourth Proportional to 296,645.93, 409,444.62 and 169,395.33

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Solution

The fourth proportional to 296,645.93, 409,444.62 and 169,395.33 is: 233,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,645.93 : 409,444.62 = 169,395.33 : x
  2. Step 2: Convert to fraction form
    296,645.93/409,444.62 = 169,395.33/x
  3. Step 3: Cross multiply
    296,645.93x = 409,444.62 × 169,395.33
  4. Step 4: Simplify right side
    296,645.93x = 69,358,008,374.66
  5. Step 5: Solve for x
    x = 69,358,008,374.66/296,645.93
  6. Step 6: Final answer
    x = 233,807.38

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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.