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Finding the Fourth Proportional to 301,944.17, 416,683.81 and 172,884.65

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Solution

The fourth proportional to 301,944.17, 416,683.81 and 172,884.65 is: 238,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,944.17 : 416,683.81 = 172,884.65 : x
  2. Step 2: Convert to fraction form
    301,944.17/416,683.81 = 172,884.65/x
  3. Step 3: Cross multiply
    301,944.17x = 416,683.81 × 172,884.65
  4. Step 4: Simplify right side
    301,944.17x = 72,038,232,785.20
  5. Step 5: Solve for x
    x = 72,038,232,785.20/301,944.17
  6. Step 6: Final answer
    x = 238,581.30

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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.