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Finding the Fourth Proportional to 301,637.39, 416,264.62 and 165,683.92

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Solution

The fourth proportional to 301,637.39, 416,264.62 and 165,683.92 is: 228,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,637.39 : 416,264.62 = 165,683.92 : x
  2. Step 2: Convert to fraction form
    301,637.39/416,264.62 = 165,683.92/x
  3. Step 3: Cross multiply
    301,637.39x = 416,264.62 × 165,683.92
  4. Step 4: Simplify right side
    301,637.39x = 68,968,353,998.91
  5. Step 5: Solve for x
    x = 68,968,353,998.91/301,637.39
  6. Step 6: Final answer
    x = 228,646.57

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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.