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Finding the Fourth Proportional to 517,811.70, 777,009.15 and 202,227.60

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Solution

The fourth proportional to 517,811.70, 777,009.15 and 202,227.60 is: 303,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,811.70 : 777,009.15 = 202,227.60 : x
  2. Step 2: Convert to fraction form
    517,811.70/777,009.15 = 202,227.60/x
  3. Step 3: Cross multiply
    517,811.70x = 777,009.15 × 202,227.60
  4. Step 4: Simplify right side
    517,811.70x = 157,132,695,582.54
  5. Step 5: Solve for x
    x = 157,132,695,582.54/517,811.70
  6. Step 6: Final answer
    x = 303,455.28

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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.