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Finding the Fourth Proportional to 511,150.40, 766,459.20 and 191,039.12

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Solution

The fourth proportional to 511,150.40, 766,459.20 and 191,039.12 is: 286,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,150.40 : 766,459.20 = 191,039.12 : x
  2. Step 2: Convert to fraction form
    511,150.40/766,459.20 = 191,039.12/x
  3. Step 3: Cross multiply
    511,150.40x = 766,459.20 × 191,039.12
  4. Step 4: Simplify right side
    511,150.40x = 146,423,691,083.90
  5. Step 5: Solve for x
    x = 146,423,691,083.90/511,150.40
  6. Step 6: Final answer
    x = 286,459.11

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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.