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Finding the Fourth Proportional to 464,875.83, 696,654.54 and 194,712.84

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Solution

The fourth proportional to 464,875.83, 696,654.54 and 194,712.84 is: 291,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,875.83 : 696,654.54 = 194,712.84 : x
  2. Step 2: Convert to fraction form
    464,875.83/696,654.54 = 194,712.84/x
  3. Step 3: Cross multiply
    464,875.83x = 696,654.54 × 194,712.84
  4. Step 4: Simplify right side
    464,875.83x = 135,647,583,982.29
  5. Step 5: Solve for x
    x = 135,647,583,982.29/464,875.83
  6. Step 6: Final answer
    x = 291,793.15

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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.