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Finding the Fourth Proportional to 474,927.90, 711,787.05 and 194,127.90

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Solution

The fourth proportional to 474,927.90, 711,787.05 and 194,127.90 is: 290,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,927.90 : 711,787.05 = 194,127.90 : x
  2. Step 2: Convert to fraction form
    474,927.90/711,787.05 = 194,127.90/x
  3. Step 3: Cross multiply
    474,927.90x = 711,787.05 × 194,127.90
  4. Step 4: Simplify right side
    474,927.90x = 138,177,725,263.70
  5. Step 5: Solve for x
    x = 138,177,725,263.70/474,927.90
  6. Step 6: Final answer
    x = 290,944.64

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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.