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Finding the Fourth Proportional to 301,578.54, 416,320.08 and 174,229.54

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Solution

The fourth proportional to 301,578.54, 416,320.08 and 174,229.54 is: 240,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,578.54 : 416,320.08 = 174,229.54 : x
  2. Step 2: Convert to fraction form
    301,578.54/416,320.08 = 174,229.54/x
  3. Step 3: Cross multiply
    301,578.54x = 416,320.08 × 174,229.54
  4. Step 4: Simplify right side
    301,578.54x = 72,535,256,031.16
  5. Step 5: Solve for x
    x = 72,535,256,031.16/301,578.54
  6. Step 6: Final answer
    x = 240,518.63

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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.