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Finding the Fourth Proportional to 301,516.94, 416,074.51 and 165,550.01

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Solution

The fourth proportional to 301,516.94, 416,074.51 and 165,550.01 is: 228,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,516.94 : 416,074.51 = 165,550.01 : x
  2. Step 2: Convert to fraction form
    301,516.94/416,074.51 = 165,550.01/x
  3. Step 3: Cross multiply
    301,516.94x = 416,074.51 × 165,550.01
  4. Step 4: Simplify right side
    301,516.94x = 68,881,137,417.81
  5. Step 5: Solve for x
    x = 68,881,137,417.81/301,516.94
  6. Step 6: Final answer
    x = 228,448.65

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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.