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Finding the Fourth Proportional to 301,981.61, 416,718.59 and 165,989.39

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Solution

The fourth proportional to 301,981.61, 416,718.59 and 165,989.39 is: 229,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,981.61 : 416,718.59 = 165,989.39 : x
  2. Step 2: Convert to fraction form
    301,981.61/416,718.59 = 165,989.39/x
  3. Step 3: Cross multiply
    301,981.61x = 416,718.59 × 165,989.39
  4. Step 4: Simplify right side
    301,981.61x = 69,170,861,642.22
  5. Step 5: Solve for x
    x = 69,170,861,642.22/301,981.61
  6. Step 6: Final answer
    x = 229,056.54

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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.