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Finding the Fourth Proportional to 299,526.81, 413,349.03 and 163,561.74

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Solution

The fourth proportional to 299,526.81, 413,349.03 and 163,561.74 is: 225,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,526.81 : 413,349.03 = 163,561.74 : x
  2. Step 2: Convert to fraction form
    299,526.81/413,349.03 = 163,561.74/x
  3. Step 3: Cross multiply
    299,526.81x = 413,349.03 × 163,561.74
  4. Step 4: Simplify right side
    299,526.81x = 67,608,086,574.11
  5. Step 5: Solve for x
    x = 67,608,086,574.11/299,526.81
  6. Step 6: Final answer
    x = 225,716.31

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1.5x scale

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.