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Finding the Fourth Proportional to 297,534.24, 410,600.16 and 163,398.24

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Solution

The fourth proportional to 297,534.24, 410,600.16 and 163,398.24 is: 225,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,534.24 : 410,600.16 = 163,398.24 : x
  2. Step 2: Convert to fraction form
    297,534.24/410,600.16 = 163,398.24/x
  3. Step 3: Cross multiply
    297,534.24x = 410,600.16 × 163,398.24
  4. Step 4: Simplify right side
    297,534.24x = 67,091,343,487.72
  5. Step 5: Solve for x
    x = 67,091,343,487.72/297,534.24
  6. Step 6: Final answer
    x = 225,491.17

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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.