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Finding the Fourth Proportional to 820,485, 1,132,308.18 and 462,789

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Solution

The fourth proportional to 820,485, 1,132,308.18 and 462,789 is: 638,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,485 : 1,132,308.18 = 462,789 : x
  2. Step 2: Convert to fraction form
    820,485/1,132,308.18 = 462,789/x
  3. Step 3: Cross multiply
    820,485x = 1,132,308.18 × 462,789
  4. Step 4: Simplify right side
    820,485x = 524,019,770,314.02
  5. Step 5: Solve for x
    x = 524,019,770,314.02/820,485
  6. Step 6: Final answer
    x = 638,670.75

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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.