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Finding the Fourth Proportional to 533,047.27, 735,812.63 and 360,881.05

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Solution

The fourth proportional to 533,047.27, 735,812.63 and 360,881.05 is: 498,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,047.27 : 735,812.63 = 360,881.05 : x
  2. Step 2: Convert to fraction form
    533,047.27/735,812.63 = 360,881.05/x
  3. Step 3: Cross multiply
    533,047.27x = 735,812.63 × 360,881.05
  4. Step 4: Simplify right side
    533,047.27x = 265,540,834,517.66
  5. Step 5: Solve for x
    x = 265,540,834,517.66/533,047.27
  6. Step 6: Final answer
    x = 498,156.26

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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.