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Finding the Fourth Proportional to 474,346.40, 711,922.80 and 194,064.80

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Solution

The fourth proportional to 474,346.40, 711,922.80 and 194,064.80 is: 291,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,346.40 : 711,922.80 = 194,064.80 : x
  2. Step 2: Convert to fraction form
    474,346.40/711,922.80 = 194,064.80/x
  3. Step 3: Cross multiply
    474,346.40x = 711,922.80 × 194,064.80
  4. Step 4: Simplify right side
    474,346.40x = 138,159,155,797.44
  5. Step 5: Solve for x
    x = 138,159,155,797.44/474,346.40
  6. Step 6: Final answer
    x = 291,262.16

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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.