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Finding the Fourth Proportional to 302,198.23, 417,047.70 and 174,849.22

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Solution

The fourth proportional to 302,198.23, 417,047.70 and 174,849.22 is: 241,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,198.23 : 417,047.70 = 174,849.22 : x
  2. Step 2: Convert to fraction form
    302,198.23/417,047.70 = 174,849.22/x
  3. Step 3: Cross multiply
    302,198.23x = 417,047.70 × 174,849.22
  4. Step 4: Simplify right side
    302,198.23x = 72,920,465,047.79
  5. Step 5: Solve for x
    x = 72,920,465,047.79/302,198.23
  6. Step 6: Final answer
    x = 241,300.11

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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.