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Finding the Fourth Proportional to 643,807.70, 965,711.55 and 511,097.30

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Solution

The fourth proportional to 643,807.70, 965,711.55 and 511,097.30 is: 766,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,807.70 : 965,711.55 = 511,097.30 : x
  2. Step 2: Convert to fraction form
    643,807.70/965,711.55 = 511,097.30/x
  3. Step 3: Cross multiply
    643,807.70x = 965,711.55 × 511,097.30
  4. Step 4: Simplify right side
    643,807.70x = 493,572,565,783.82
  5. Step 5: Solve for x
    x = 493,572,565,783.82/643,807.70
  6. Step 6: Final answer
    x = 766,645.95

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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.