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Finding the Fourth Proportional to 319,617.84, 479,302.08 and 119,829.24

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Solution

The fourth proportional to 319,617.84, 479,302.08 and 119,829.24 is: 179,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,617.84 : 479,302.08 = 119,829.24 : x
  2. Step 2: Convert to fraction form
    319,617.84/479,302.08 = 119,829.24/x
  3. Step 3: Cross multiply
    319,617.84x = 479,302.08 × 119,829.24
  4. Step 4: Simplify right side
    319,617.84x = 57,434,403,976.82
  5. Step 5: Solve for x
    x = 57,434,403,976.82/319,617.84
  6. Step 6: Final answer
    x = 179,697.12

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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.