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Finding the Fourth Proportional to 463,558.86, 695,630.79 and 197,318.94

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Solution

The fourth proportional to 463,558.86, 695,630.79 and 197,318.94 is: 296,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,558.86 : 695,630.79 = 197,318.94 : x
  2. Step 2: Convert to fraction form
    463,558.86/695,630.79 = 197,318.94/x
  3. Step 3: Cross multiply
    463,558.86x = 695,630.79 × 197,318.94
  4. Step 4: Simplify right side
    463,558.86x = 137,261,130,114.16
  5. Step 5: Solve for x
    x = 137,261,130,114.16/463,558.86
  6. Step 6: Final answer
    x = 296,102.92

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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.