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Finding the Fourth Proportional to 551,451.10, 827,176.65 and 462,877.60

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Solution

The fourth proportional to 551,451.10, 827,176.65 and 462,877.60 is: 694,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,451.10 : 827,176.65 = 462,877.60 : x
  2. Step 2: Convert to fraction form
    551,451.10/827,176.65 = 462,877.60/x
  3. Step 3: Cross multiply
    551,451.10x = 827,176.65 × 462,877.60
  4. Step 4: Simplify right side
    551,451.10x = 382,881,542,528.04
  5. Step 5: Solve for x
    x = 382,881,542,528.04/551,451.10
  6. Step 6: Final answer
    x = 694,316.40

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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.