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Finding the Fourth Proportional to 304,715.16, 457,150.50 and 193,187.88

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Solution

The fourth proportional to 304,715.16, 457,150.50 and 193,187.88 is: 289,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,715.16 : 457,150.50 = 193,187.88 : x
  2. Step 2: Convert to fraction form
    304,715.16/457,150.50 = 193,187.88/x
  3. Step 3: Cross multiply
    304,715.16x = 457,150.50 × 193,187.88
  4. Step 4: Simplify right side
    304,715.16x = 88,315,935,935.94
  5. Step 5: Solve for x
    x = 88,315,935,935.94/304,715.16
  6. Step 6: Final answer
    x = 289,831.12

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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.