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Finding the Fourth Proportional to 386,538.87, 533,422.62 and 216,776.64

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Solution

The fourth proportional to 386,538.87, 533,422.62 and 216,776.64 is: 299,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,538.87 : 533,422.62 = 216,776.64 : x
  2. Step 2: Convert to fraction form
    386,538.87/533,422.62 = 216,776.64/x
  3. Step 3: Cross multiply
    386,538.87x = 533,422.62 × 216,776.64
  4. Step 4: Simplify right side
    386,538.87x = 115,633,563,263.60
  5. Step 5: Solve for x
    x = 115,633,563,263.60/386,538.87
  6. Step 6: Final answer
    x = 299,151.19

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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.