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Finding the Fourth Proportional to 464,114.68, 696,370.54 and 194,305.88

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Solution

The fourth proportional to 464,114.68, 696,370.54 and 194,305.88 is: 291,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,114.68 : 696,370.54 = 194,305.88 : x
  2. Step 2: Convert to fraction form
    464,114.68/696,370.54 = 194,305.88/x
  3. Step 3: Cross multiply
    464,114.68x = 696,370.54 × 194,305.88
  4. Step 4: Simplify right side
    464,114.68x = 135,308,890,580.78
  5. Step 5: Solve for x
    x = 135,308,890,580.78/464,114.68
  6. Step 6: Final answer
    x = 291,541.93

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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.