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Finding the Fourth Proportional to 301,707.69, 416,310.38 and 174,358.71

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Solution

The fourth proportional to 301,707.69, 416,310.38 and 174,358.71 is: 240,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,707.69 : 416,310.38 = 174,358.71 : x
  2. Step 2: Convert to fraction form
    301,707.69/416,310.38 = 174,358.71/x
  3. Step 3: Cross multiply
    301,707.69x = 416,310.38 × 174,358.71
  4. Step 4: Simplify right side
    301,707.69x = 72,587,339,944.62
  5. Step 5: Solve for x
    x = 72,587,339,944.62/301,707.69
  6. Step 6: Final answer
    x = 240,588.30

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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.