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Finding the Fourth Proportional to 301,458.92, 416,018.54 and 165,505.52

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Solution

The fourth proportional to 301,458.92, 416,018.54 and 165,505.52 is: 228,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,458.92 : 416,018.54 = 165,505.52 : x
  2. Step 2: Convert to fraction form
    301,458.92/416,018.54 = 165,505.52/x
  3. Step 3: Cross multiply
    301,458.92x = 416,018.54 × 165,505.52
  4. Step 4: Simplify right side
    301,458.92x = 68,853,364,792.34
  5. Step 5: Solve for x
    x = 68,853,364,792.34/301,458.92
  6. Step 6: Final answer
    x = 228,400.49

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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.