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Finding the Fourth Proportional to 820,486.50, 1,132,310.25 and 462,790.50

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Solution

The fourth proportional to 820,486.50, 1,132,310.25 and 462,790.50 is: 638,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,486.50 : 1,132,310.25 = 462,790.50 : x
  2. Step 2: Convert to fraction form
    820,486.50/1,132,310.25 = 462,790.50/x
  3. Step 3: Cross multiply
    820,486.50x = 1,132,310.25 × 462,790.50
  4. Step 4: Simplify right side
    820,486.50x = 524,022,426,752.63
  5. Step 5: Solve for x
    x = 524,022,426,752.63/820,486.50
  6. Step 6: Final answer
    x = 638,672.82

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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.