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Finding the Fourth Proportional to 533,670.86, 799,223.59 and 305,274.02

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Solution

The fourth proportional to 533,670.86, 799,223.59 and 305,274.02 is: 457,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,670.86 : 799,223.59 = 305,274.02 : x
  2. Step 2: Convert to fraction form
    533,670.86/799,223.59 = 305,274.02/x
  3. Step 3: Cross multiply
    533,670.86x = 799,223.59 × 305,274.02
  4. Step 4: Simplify right side
    533,670.86x = 243,982,196,671.76
  5. Step 5: Solve for x
    x = 243,982,196,671.76/533,670.86
  6. Step 6: Final answer
    x = 457,177.29

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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.