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Finding the Fourth Proportional to 611,901.96, 917,714.34 and 232,687.50

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Solution

The fourth proportional to 611,901.96, 917,714.34 and 232,687.50 is: 348,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,901.96 : 917,714.34 = 232,687.50 : x
  2. Step 2: Convert to fraction form
    611,901.96/917,714.34 = 232,687.50/x
  3. Step 3: Cross multiply
    611,901.96x = 917,714.34 × 232,687.50
  4. Step 4: Simplify right side
    611,901.96x = 213,540,655,488.75
  5. Step 5: Solve for x
    x = 213,540,655,488.75/611,901.96
  6. Step 6: Final answer
    x = 348,978.54

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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.