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Finding the Fourth Proportional to 295,472.24, 407,735 and 174,624.80

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Solution

The fourth proportional to 295,472.24, 407,735 and 174,624.80 is: 240,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,472.24 : 407,735 = 174,624.80 : x
  2. Step 2: Convert to fraction form
    295,472.24/407,735 = 174,624.80/x
  3. Step 3: Cross multiply
    295,472.24x = 407,735 × 174,624.80
  4. Step 4: Simplify right side
    295,472.24x = 71,200,642,828
  5. Step 5: Solve for x
    x = 71,200,642,828/295,472.24
  6. Step 6: Final answer
    x = 240,972.36

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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.