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Finding the Fourth Proportional to 283,094.74, 424,712.11 and 232,579.14

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Solution

The fourth proportional to 283,094.74, 424,712.11 and 232,579.14 is: 348,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,094.74 : 424,712.11 = 232,579.14 : x
  2. Step 2: Convert to fraction form
    283,094.74/424,712.11 = 232,579.14/x
  3. Step 3: Cross multiply
    283,094.74x = 424,712.11 × 232,579.14
  4. Step 4: Simplify right side
    283,094.74x = 98,779,175,167.82
  5. Step 5: Solve for x
    x = 98,779,175,167.82/283,094.74
  6. Step 6: Final answer
    x = 348,926.21

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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.