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Finding the Fourth Proportional to 552,012.60, 827,435.70 and 314,844.60

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Solution

The fourth proportional to 552,012.60, 827,435.70 and 314,844.60 is: 471,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,012.60 : 827,435.70 = 314,844.60 : x
  2. Step 2: Convert to fraction form
    552,012.60/827,435.70 = 314,844.60/x
  3. Step 3: Cross multiply
    552,012.60x = 827,435.70 × 314,844.60
  4. Step 4: Simplify right side
    552,012.60x = 260,513,661,992.22
  5. Step 5: Solve for x
    x = 260,513,661,992.22/552,012.60
  6. Step 6: Final answer
    x = 471,934.27

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1.5x scale

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.