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Finding the Fourth Proportional to 319,718.40, 479,966.40 and 161,865.60

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Solution

The fourth proportional to 319,718.40, 479,966.40 and 161,865.60 is: 242,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,718.40 : 479,966.40 = 161,865.60 : x
  2. Step 2: Convert to fraction form
    319,718.40/479,966.40 = 161,865.60/x
  3. Step 3: Cross multiply
    319,718.40x = 479,966.40 × 161,865.60
  4. Step 4: Simplify right side
    319,718.40x = 77,690,049,315.84
  5. Step 5: Solve for x
    x = 77,690,049,315.84/319,718.40
  6. Step 6: Final answer
    x = 242,995.24

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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.