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Finding the Fourth Proportional to 471,275.44, 650,362.92 and 256,417.12

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Solution

The fourth proportional to 471,275.44, 650,362.92 and 256,417.12 is: 353,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,275.44 : 650,362.92 = 256,417.12 : x
  2. Step 2: Convert to fraction form
    471,275.44/650,362.92 = 256,417.12/x
  3. Step 3: Cross multiply
    471,275.44x = 650,362.92 × 256,417.12
  4. Step 4: Simplify right side
    471,275.44x = 166,764,186,901.19
  5. Step 5: Solve for x
    x = 166,764,186,901.19/471,275.44
  6. Step 6: Final answer
    x = 353,857.16

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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.