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Finding the Fourth Proportional to 299,313.95, 413,061.93 and 163,356.62

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Solution

The fourth proportional to 299,313.95, 413,061.93 and 163,356.62 is: 225,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,313.95 : 413,061.93 = 163,356.62 : x
  2. Step 2: Convert to fraction form
    299,313.95/413,061.93 = 163,356.62/x
  3. Step 3: Cross multiply
    299,313.95x = 413,061.93 × 163,356.62
  4. Step 4: Simplify right side
    299,313.95x = 67,476,398,670.17
  5. Step 5: Solve for x
    x = 67,476,398,670.17/299,313.95
  6. Step 6: Final answer
    x = 225,436.87

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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.