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Finding the Fourth Proportional to 611,092.90, 916,688.34 and 232,195.12

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Solution

The fourth proportional to 611,092.90, 916,688.34 and 232,195.12 is: 348,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,092.90 : 916,688.34 = 232,195.12 : x
  2. Step 2: Convert to fraction form
    611,092.90/916,688.34 = 232,195.12/x
  3. Step 3: Cross multiply
    611,092.90x = 916,688.34 × 232,195.12
  4. Step 4: Simplify right side
    611,092.90x = 212,850,559,108.90
  5. Step 5: Solve for x
    x = 212,850,559,108.90/611,092.90
  6. Step 6: Final answer
    x = 348,311.29

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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.