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Finding the Fourth Proportional to 299,313.74, 413,059.48 and 163,348.22

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Solution

The fourth proportional to 299,313.74, 413,059.48 and 163,348.22 is: 225,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,313.74 : 413,059.48 = 163,348.22 : x
  2. Step 2: Convert to fraction form
    299,313.74/413,059.48 = 163,348.22/x
  3. Step 3: Cross multiply
    299,313.74x = 413,059.48 × 163,348.22
  4. Step 4: Simplify right side
    299,313.74x = 67,472,528,338.46
  5. Step 5: Solve for x
    x = 67,472,528,338.46/299,313.74
  6. Step 6: Final answer
    x = 225,424.10

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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.