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Finding the Fourth Proportional to 463,693.41, 695,638.53 and 160,115.94

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Solution

The fourth proportional to 463,693.41, 695,638.53 and 160,115.94 is: 240,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,693.41 : 695,638.53 = 160,115.94 : x
  2. Step 2: Convert to fraction form
    463,693.41/695,638.53 = 160,115.94/x
  3. Step 3: Cross multiply
    463,693.41x = 695,638.53 × 160,115.94
  4. Step 4: Simplify right side
    463,693.41x = 111,382,817,131.17
  5. Step 5: Solve for x
    x = 111,382,817,131.17/463,693.41
  6. Step 6: Final answer
    x = 240,207.89

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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.