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Finding the Fourth Proportional to 413,266.13, 619,899.21 and 163,948.13

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Solution

The fourth proportional to 413,266.13, 619,899.21 and 163,948.13 is: 245,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,266.13 : 619,899.21 = 163,948.13 : x
  2. Step 2: Convert to fraction form
    413,266.13/619,899.21 = 163,948.13/x
  3. Step 3: Cross multiply
    413,266.13x = 619,899.21 × 163,948.13
  4. Step 4: Simplify right side
    413,266.13x = 101,631,313,168.48
  5. Step 5: Solve for x
    x = 101,631,313,168.48/413,266.13
  6. Step 6: Final answer
    x = 245,922.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.