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Finding the Fourth Proportional to 299,527.81, 413,350.41 and 163,562.74

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Solution

The fourth proportional to 299,527.81, 413,350.41 and 163,562.74 is: 225,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,527.81 : 413,350.41 = 163,562.74 : x
  2. Step 2: Convert to fraction form
    299,527.81/413,350.41 = 163,562.74/x
  3. Step 3: Cross multiply
    299,527.81x = 413,350.41 × 163,562.74
  4. Step 4: Simplify right side
    299,527.81x = 67,608,725,639.72
  5. Step 5: Solve for x
    x = 67,608,725,639.72/299,527.81
  6. Step 6: Final answer
    x = 225,717.69

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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.