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Finding the Fourth Proportional to 511,446.95, 767,201.15 and 156,464.04

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Solution

The fourth proportional to 511,446.95, 767,201.15 and 156,464.04 is: 234,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,446.95 : 767,201.15 = 156,464.04 : x
  2. Step 2: Convert to fraction form
    511,446.95/767,201.15 = 156,464.04/x
  3. Step 3: Cross multiply
    511,446.95x = 767,201.15 × 156,464.04
  4. Step 4: Simplify right side
    511,446.95x = 120,039,390,639.33
  5. Step 5: Solve for x
    x = 120,039,390,639.33/511,446.95
  6. Step 6: Final answer
    x = 234,705.46

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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.