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Finding the Fourth Proportional to 219,713.50, 302,911.41 and 174,541.42

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Solution

The fourth proportional to 219,713.50, 302,911.41 and 174,541.42 is: 240,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,713.50 : 302,911.41 = 174,541.42 : x
  2. Step 2: Convert to fraction form
    219,713.50/302,911.41 = 174,541.42/x
  3. Step 3: Cross multiply
    219,713.50x = 302,911.41 × 174,541.42
  4. Step 4: Simplify right side
    219,713.50x = 52,870,587,635.60
  5. Step 5: Solve for x
    x = 52,870,587,635.60/219,713.50
  6. Step 6: Final answer
    x = 240,634.22

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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.