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Finding the Fourth Proportional to 468,657.14, 646,747.47 and 253,797.57

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Solution

The fourth proportional to 468,657.14, 646,747.47 and 253,797.57 is: 350,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,657.14 : 646,747.47 = 253,797.57 : x
  2. Step 2: Convert to fraction form
    468,657.14/646,747.47 = 253,797.57/x
  3. Step 3: Cross multiply
    468,657.14x = 646,747.47 × 253,797.57
  4. Step 4: Simplify right side
    468,657.14x = 164,142,936,289.65
  5. Step 5: Solve for x
    x = 164,142,936,289.65/468,657.14
  6. Step 6: Final answer
    x = 350,240.98

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1.5x scale

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.