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Finding the Fourth Proportional to 301,210.74, 415,664.64 and 167,074.74

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Solution

The fourth proportional to 301,210.74, 415,664.64 and 167,074.74 is: 230,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,210.74 : 415,664.64 = 167,074.74 : x
  2. Step 2: Convert to fraction form
    301,210.74/415,664.64 = 167,074.74/x
  3. Step 3: Cross multiply
    301,210.74x = 415,664.64 × 167,074.74
  4. Step 4: Simplify right side
    301,210.74x = 69,447,061,655.19
  5. Step 5: Solve for x
    x = 69,447,061,655.19/301,210.74
  6. Step 6: Final answer
    x = 230,559.71

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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.