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Finding the Fourth Proportional to 517,072.80, 776,046.60 and 233,200.20

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Solution

The fourth proportional to 517,072.80, 776,046.60 and 233,200.20 is: 349,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,072.80 : 776,046.60 = 233,200.20 : x
  2. Step 2: Convert to fraction form
    517,072.80/776,046.60 = 233,200.20/x
  3. Step 3: Cross multiply
    517,072.80x = 776,046.60 × 233,200.20
  4. Step 4: Simplify right side
    517,072.80x = 180,974,222,329.32
  5. Step 5: Solve for x
    x = 180,974,222,329.32/517,072.80
  6. Step 6: Final answer
    x = 349,997.57

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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.