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Finding the Fourth Proportional to 647,655.40, 971,022.30 and 248,141.80

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Solution

The fourth proportional to 647,655.40, 971,022.30 and 248,141.80 is: 372,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,655.40 : 971,022.30 = 248,141.80 : x
  2. Step 2: Convert to fraction form
    647,655.40/971,022.30 = 248,141.80/x
  3. Step 3: Cross multiply
    647,655.40x = 971,022.30 × 248,141.80
  4. Step 4: Simplify right side
    647,655.40x = 240,951,221,362.14
  5. Step 5: Solve for x
    x = 240,951,221,362.14/647,655.40
  6. Step 6: Final answer
    x = 372,036.15

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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.