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Finding the Fourth Proportional to 301,697.93, 416,349.42 and 165,740.34

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Solution

The fourth proportional to 301,697.93, 416,349.42 and 165,740.34 is: 228,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,697.93 : 416,349.42 = 165,740.34 : x
  2. Step 2: Convert to fraction form
    301,697.93/416,349.42 = 165,740.34/x
  3. Step 3: Cross multiply
    301,697.93x = 416,349.42 × 165,740.34
  4. Step 4: Simplify right side
    301,697.93x = 69,005,895,369.39
  5. Step 5: Solve for x
    x = 69,005,895,369.39/301,697.93
  6. Step 6: Final answer
    x = 228,725.12

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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.