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Finding the Fourth Proportional to 587,297.70, 880,946.55 and 410,150.70

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Solution

The fourth proportional to 587,297.70, 880,946.55 and 410,150.70 is: 615,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,297.70 : 880,946.55 = 410,150.70 : x
  2. Step 2: Convert to fraction form
    587,297.70/880,946.55 = 410,150.70/x
  3. Step 3: Cross multiply
    587,297.70x = 880,946.55 × 410,150.70
  4. Step 4: Simplify right side
    587,297.70x = 361,320,844,145.09
  5. Step 5: Solve for x
    x = 361,320,844,145.09/587,297.70
  6. Step 6: Final answer
    x = 615,226.05

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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.