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Finding the Fourth Proportional to 284,476.65, 426,924.97 and 134,716.70

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Solution

The fourth proportional to 284,476.65, 426,924.97 and 134,716.70 is: 202,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.65 : 426,924.97 = 134,716.70 : x
  2. Step 2: Convert to fraction form
    284,476.65/426,924.97 = 134,716.70/x
  3. Step 3: Cross multiply
    284,476.65x = 426,924.97 × 134,716.70
  4. Step 4: Simplify right side
    284,476.65x = 57,513,923,106.00
  5. Step 5: Solve for x
    x = 57,513,923,106.00/284,476.65
  6. Step 6: Final answer
    x = 202,174.50

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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.