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Finding the Fourth Proportional to 299,569.81, 413,409.14 and 170,501.95

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Solution

The fourth proportional to 299,569.81, 413,409.14 and 170,501.95 is: 235,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,569.81 : 413,409.14 = 170,501.95 : x
  2. Step 2: Convert to fraction form
    299,569.81/413,409.14 = 170,501.95/x
  3. Step 3: Cross multiply
    299,569.81x = 413,409.14 × 170,501.95
  4. Step 4: Simplify right side
    299,569.81x = 70,487,064,517.82
  5. Step 5: Solve for x
    x = 70,487,064,517.82/299,569.81
  6. Step 6: Final answer
    x = 235,294.29

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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.