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Finding the Fourth Proportional to 457,803.86, 631,640.45 and 360,706.70

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Solution

The fourth proportional to 457,803.86, 631,640.45 and 360,706.70 is: 497,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,803.86 : 631,640.45 = 360,706.70 : x
  2. Step 2: Convert to fraction form
    457,803.86/631,640.45 = 360,706.70/x
  3. Step 3: Cross multiply
    457,803.86x = 631,640.45 × 360,706.70
  4. Step 4: Simplify right side
    457,803.86x = 227,836,944,786.88
  5. Step 5: Solve for x
    x = 227,836,944,786.88/457,803.86
  6. Step 6: Final answer
    x = 497,673.71

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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.