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Finding the Fourth Proportional to 310,104.12, 465,157.98 and 110,432.28

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Solution

The fourth proportional to 310,104.12, 465,157.98 and 110,432.28 is: 165,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,104.12 : 465,157.98 = 110,432.28 : x
  2. Step 2: Convert to fraction form
    310,104.12/465,157.98 = 110,432.28/x
  3. Step 3: Cross multiply
    310,104.12x = 465,157.98 × 110,432.28
  4. Step 4: Simplify right side
    310,104.12x = 51,368,456,291.59
  5. Step 5: Solve for x
    x = 51,368,456,291.59/310,104.12
  6. Step 6: Final answer
    x = 165,649.06

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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.