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Finding the Fourth Proportional to 474,698.64, 712,046.34 and 194,215.89

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Solution

The fourth proportional to 474,698.64, 712,046.34 and 194,215.89 is: 291,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,698.64 : 712,046.34 = 194,215.89 : x
  2. Step 2: Convert to fraction form
    474,698.64/712,046.34 = 194,215.89/x
  3. Step 3: Cross multiply
    474,698.64x = 712,046.34 × 194,215.89
  4. Step 4: Simplify right side
    474,698.64x = 138,290,713,644.34
  5. Step 5: Solve for x
    x = 138,290,713,644.34/474,698.64
  6. Step 6: Final answer
    x = 291,323.17

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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.