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Finding the Fourth Proportional to 463,827.34, 695,255.42 and 194,110.01

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Solution

The fourth proportional to 463,827.34, 695,255.42 and 194,110.01 is: 290,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,827.34 : 695,255.42 = 194,110.01 : x
  2. Step 2: Convert to fraction form
    463,827.34/695,255.42 = 194,110.01/x
  3. Step 3: Cross multiply
    463,827.34x = 695,255.42 × 194,110.01
  4. Step 4: Simplify right side
    463,827.34x = 134,956,035,558.20
  5. Step 5: Solve for x
    x = 134,956,035,558.20/463,827.34
  6. Step 6: Final answer
    x = 290,961.80

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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.