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Finding the Fourth Proportional to 301,792.80, 416,472 and 165,828.18

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Solution

The fourth proportional to 301,792.80, 416,472 and 165,828.18 is: 228,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,792.80 : 416,472 = 165,828.18 : x
  2. Step 2: Convert to fraction form
    301,792.80/416,472 = 165,828.18/x
  3. Step 3: Cross multiply
    301,792.80x = 416,472 × 165,828.18
  4. Step 4: Simplify right side
    301,792.80x = 69,062,793,780.96
  5. Step 5: Solve for x
    x = 69,062,793,780.96/301,792.80
  6. Step 6: Final answer
    x = 228,841.75

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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.