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Finding the Fourth Proportional to 302,732.37, 417,749.08 and 180,218.25

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Solution

The fourth proportional to 302,732.37, 417,749.08 and 180,218.25 is: 248,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,732.37 : 417,749.08 = 180,218.25 : x
  2. Step 2: Convert to fraction form
    302,732.37/417,749.08 = 180,218.25/x
  3. Step 3: Cross multiply
    302,732.37x = 417,749.08 × 180,218.25
  4. Step 4: Simplify right side
    302,732.37x = 75,286,008,136.71
  5. Step 5: Solve for x
    x = 75,286,008,136.71/302,732.37
  6. Step 6: Final answer
    x = 248,688.33

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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.