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Finding the Fourth Proportional to 417,958.74, 576,777.98 and 226,973.50

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Solution

The fourth proportional to 417,958.74, 576,777.98 and 226,973.50 is: 313,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,958.74 : 576,777.98 = 226,973.50 : x
  2. Step 2: Convert to fraction form
    417,958.74/576,777.98 = 226,973.50/x
  3. Step 3: Cross multiply
    417,958.74x = 576,777.98 × 226,973.50
  4. Step 4: Simplify right side
    417,958.74x = 130,913,316,843.53
  5. Step 5: Solve for x
    x = 130,913,316,843.53/417,958.74
  6. Step 6: Final answer
    x = 313,220.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.