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Finding the Fourth Proportional to 474,090.68, 711,136.72 and 193,607.94

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Solution

The fourth proportional to 474,090.68, 711,136.72 and 193,607.94 is: 290,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,090.68 : 711,136.72 = 193,607.94 : x
  2. Step 2: Convert to fraction form
    474,090.68/711,136.72 = 193,607.94/x
  3. Step 3: Cross multiply
    474,090.68x = 711,136.72 × 193,607.94
  4. Step 4: Simplify right side
    474,090.68x = 137,681,715,417.56
  5. Step 5: Solve for x
    x = 137,681,715,417.56/474,090.68
  6. Step 6: Final answer
    x = 290,412.20

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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.