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Finding the Fourth Proportional to 611,007.40, 916,839.15 and 256,057.30

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Solution

The fourth proportional to 611,007.40, 916,839.15 and 256,057.30 is: 384,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,007.40 : 916,839.15 = 256,057.30 : x
  2. Step 2: Convert to fraction form
    611,007.40/916,839.15 = 256,057.30/x
  3. Step 3: Cross multiply
    611,007.40x = 916,839.15 × 256,057.30
  4. Step 4: Simplify right side
    611,007.40x = 234,763,357,283.30
  5. Step 5: Solve for x
    x = 234,763,357,283.30/611,007.40
  6. Step 6: Final answer
    x = 384,223.43

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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.