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Finding the Fourth Proportional to 367,382.96, 506,928.12 and 216,459.44

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Solution

The fourth proportional to 367,382.96, 506,928.12 and 216,459.44 is: 298,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,382.96 : 506,928.12 = 216,459.44 : x
  2. Step 2: Convert to fraction form
    367,382.96/506,928.12 = 216,459.44/x
  3. Step 3: Cross multiply
    367,382.96x = 506,928.12 × 216,459.44
  4. Step 4: Simplify right side
    367,382.96x = 109,729,376,975.45
  5. Step 5: Solve for x
    x = 109,729,376,975.45/367,382.96
  6. Step 6: Final answer
    x = 298,678.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.