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Finding the Fourth Proportional to 302,477.43, 417,424.20 and 164,660.35

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Solution

The fourth proportional to 302,477.43, 417,424.20 and 164,660.35 is: 227,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,477.43 : 417,424.20 = 164,660.35 : x
  2. Step 2: Convert to fraction form
    302,477.43/417,424.20 = 164,660.35/x
  3. Step 3: Cross multiply
    302,477.43x = 417,424.20 × 164,660.35
  4. Step 4: Simplify right side
    302,477.43x = 68,733,214,444.39
  5. Step 5: Solve for x
    x = 68,733,214,444.39/302,477.43
  6. Step 6: Final answer
    x = 227,234.19

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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.