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Finding the Fourth Proportional to 551,451.60, 827,177.40 and 462,878.10

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Solution

The fourth proportional to 551,451.60, 827,177.40 and 462,878.10 is: 694,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,451.60 : 827,177.40 = 462,878.10 : x
  2. Step 2: Convert to fraction form
    551,451.60/827,177.40 = 462,878.10/x
  3. Step 3: Cross multiply
    551,451.60x = 827,177.40 × 462,878.10
  4. Step 4: Simplify right side
    551,451.60x = 382,882,303,274.94
  5. Step 5: Solve for x
    x = 382,882,303,274.94/551,451.60
  6. Step 6: Final answer
    x = 694,317.15

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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.