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Finding the Fourth Proportional to 551,643, 827,464.55 and 177,666

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Solution

The fourth proportional to 551,643, 827,464.55 and 177,666 is: 266,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,643 : 827,464.55 = 177,666 : x
  2. Step 2: Convert to fraction form
    551,643/827,464.55 = 177,666/x
  3. Step 3: Cross multiply
    551,643x = 827,464.55 × 177,666
  4. Step 4: Simplify right side
    551,643x = 147,012,315,851.97
  5. Step 5: Solve for x
    x = 147,012,315,851.97/551,643
  6. Step 6: Final answer
    x = 266,499.01

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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.