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Finding the Fourth Proportional to 301,750.15, 416,422.16 and 165,792.58

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Solution

The fourth proportional to 301,750.15, 416,422.16 and 165,792.58 is: 228,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,750.15 : 416,422.16 = 165,792.58 : x
  2. Step 2: Convert to fraction form
    301,750.15/416,422.16 = 165,792.58/x
  3. Step 3: Cross multiply
    301,750.15x = 416,422.16 × 165,792.58
  4. Step 4: Simplify right side
    301,750.15x = 69,039,704,275.57
  5. Step 5: Solve for x
    x = 69,039,704,275.57/301,750.15
  6. Step 6: Final answer
    x = 228,797.58

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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.