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Finding the Fourth Proportional to 511,716.69, 766,952.35 and 362,000.14

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Solution

The fourth proportional to 511,716.69, 766,952.35 and 362,000.14 is: 542,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,716.69 : 766,952.35 = 362,000.14 : x
  2. Step 2: Convert to fraction form
    511,716.69/766,952.35 = 362,000.14/x
  3. Step 3: Cross multiply
    511,716.69x = 766,952.35 × 362,000.14
  4. Step 4: Simplify right side
    511,716.69x = 277,636,855,250.95
  5. Step 5: Solve for x
    x = 277,636,855,250.95/511,716.69
  6. Step 6: Final answer
    x = 542,559.70

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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.