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Finding the Fourth Proportional to 301,605.64, 416,197.38 and 165,613.12

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Solution

The fourth proportional to 301,605.64, 416,197.38 and 165,613.12 is: 228,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,605.64 : 416,197.38 = 165,613.12 : x
  2. Step 2: Convert to fraction form
    301,605.64/416,197.38 = 165,613.12/x
  3. Step 3: Cross multiply
    301,605.64x = 416,197.38 × 165,613.12
  4. Step 4: Simplify right side
    301,605.64x = 68,927,746,637.63
  5. Step 5: Solve for x
    x = 68,927,746,637.63/301,605.64
  6. Step 6: Final answer
    x = 228,536.00

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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.