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Finding the Fourth Proportional to 301,856.40, 416,541.69 and 165,887.40

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Solution

The fourth proportional to 301,856.40, 416,541.69 and 165,887.40 is: 228,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,856.40 : 416,541.69 = 165,887.40 : x
  2. Step 2: Convert to fraction form
    301,856.40/416,541.69 = 165,887.40/x
  3. Step 3: Cross multiply
    301,856.40x = 416,541.69 × 165,887.40
  4. Step 4: Simplify right side
    301,856.40x = 69,099,017,945.71
  5. Step 5: Solve for x
    x = 69,099,017,945.71/301,856.40
  6. Step 6: Final answer
    x = 228,913.54

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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.