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Finding the Fourth Proportional to 283,511.02, 425,266.53 and 194,494.72

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Solution

The fourth proportional to 283,511.02, 425,266.53 and 194,494.72 is: 291,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,511.02 : 425,266.53 = 194,494.72 : x
  2. Step 2: Convert to fraction form
    283,511.02/425,266.53 = 194,494.72/x
  3. Step 3: Cross multiply
    283,511.02x = 425,266.53 × 194,494.72
  4. Step 4: Simplify right side
    283,511.02x = 82,712,094,677.72
  5. Step 5: Solve for x
    x = 82,712,094,677.72/283,511.02
  6. Step 6: Final answer
    x = 291,742.08

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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.