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Finding the Fourth Proportional to 302,802.72, 417,551.04 and 226,201.76

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Solution

The fourth proportional to 302,802.72, 417,551.04 and 226,201.76 is: 311,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,802.72 : 417,551.04 = 226,201.76 : x
  2. Step 2: Convert to fraction form
    302,802.72/417,551.04 = 226,201.76/x
  3. Step 3: Cross multiply
    302,802.72x = 417,551.04 × 226,201.76
  4. Step 4: Simplify right side
    302,802.72x = 94,450,780,137.83
  5. Step 5: Solve for x
    x = 94,450,780,137.83/302,802.72
  6. Step 6: Final answer
    x = 311,921.84

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1.5x scale

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.