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Finding the Fourth Proportional to 820,487.50, 1,132,311.63 and 462,791.50

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Solution

The fourth proportional to 820,487.50, 1,132,311.63 and 462,791.50 is: 638,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,487.50 : 1,132,311.63 = 462,791.50 : x
  2. Step 2: Convert to fraction form
    820,487.50/1,132,311.63 = 462,791.50/x
  3. Step 3: Cross multiply
    820,487.50x = 1,132,311.63 × 462,791.50
  4. Step 4: Simplify right side
    820,487.50x = 524,024,197,715.15
  5. Step 5: Solve for x
    x = 524,024,197,715.15/820,487.50
  6. Step 6: Final answer
    x = 638,674.20

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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.