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Finding the Fourth Proportional to 301,487.10, 416,050.44 and 165,523.32

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Solution

The fourth proportional to 301,487.10, 416,050.44 and 165,523.32 is: 228,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,487.10 : 416,050.44 = 165,523.32 : x
  2. Step 2: Convert to fraction form
    301,487.10/416,050.44 = 165,523.32/x
  3. Step 3: Cross multiply
    301,487.10x = 416,050.44 × 165,523.32
  4. Step 4: Simplify right side
    301,487.10x = 68,866,050,116.26
  5. Step 5: Solve for x
    x = 68,866,050,116.26/301,487.10
  6. Step 6: Final answer
    x = 228,421.22

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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.