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Finding the Fourth Proportional to 474,998.58, 711,878.22 and 362,266.02

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Solution

The fourth proportional to 474,998.58, 711,878.22 and 362,266.02 is: 542,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,998.58 : 711,878.22 = 362,266.02 : x
  2. Step 2: Convert to fraction form
    474,998.58/711,878.22 = 362,266.02/x
  3. Step 3: Cross multiply
    474,998.58x = 711,878.22 × 362,266.02
  4. Step 4: Simplify right side
    474,998.58x = 257,889,289,484.08
  5. Step 5: Solve for x
    x = 257,889,289,484.08/474,998.58
  6. Step 6: Final answer
    x = 542,926.44

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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.