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Finding the Fourth Proportional to 494,297.79, 740,937.59 and 194,656.92

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Solution

The fourth proportional to 494,297.79, 740,937.59 and 194,656.92 is: 291,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,297.79 : 740,937.59 = 194,656.92 : x
  2. Step 2: Convert to fraction form
    494,297.79/740,937.59 = 194,656.92/x
  3. Step 3: Cross multiply
    494,297.79x = 740,937.59 × 194,656.92
  4. Step 4: Simplify right side
    494,297.79x = 144,228,628,208.34
  5. Step 5: Solve for x
    x = 144,228,628,208.34/494,297.79
  6. Step 6: Final answer
    x = 291,784.89

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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.