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Finding the Fourth Proportional to 297,407.44, 410,417.16 and 163,270.48

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Solution

The fourth proportional to 297,407.44, 410,417.16 and 163,270.48 is: 225,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,407.44 : 410,417.16 = 163,270.48 : x
  2. Step 2: Convert to fraction form
    297,407.44/410,417.16 = 163,270.48/x
  3. Step 3: Cross multiply
    297,407.44x = 410,417.16 × 163,270.48
  4. Step 4: Simplify right side
    297,407.44x = 67,009,006,713.44
  5. Step 5: Solve for x
    x = 67,009,006,713.44/297,407.44
  6. Step 6: Final answer
    x = 225,310.46

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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.