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Finding the Fourth Proportional to 457,951.76, 631,243.22 and 360,997.50

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Solution

The fourth proportional to 457,951.76, 631,243.22 and 360,997.50 is: 497,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,951.76 : 631,243.22 = 360,997.50 : x
  2. Step 2: Convert to fraction form
    457,951.76/631,243.22 = 360,997.50/x
  3. Step 3: Cross multiply
    457,951.76x = 631,243.22 × 360,997.50
  4. Step 4: Simplify right side
    457,951.76x = 227,877,224,311.95
  5. Step 5: Solve for x
    x = 227,877,224,311.95/457,951.76
  6. Step 6: Final answer
    x = 497,600.94

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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.