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Finding the Fourth Proportional to 470,892.39, 649,826.92 and 256,032.46

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Solution

The fourth proportional to 470,892.39, 649,826.92 and 256,032.46 is: 353,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.39 : 649,826.92 = 256,032.46 : x
  2. Step 2: Convert to fraction form
    470,892.39/649,826.92 = 256,032.46/x
  3. Step 3: Cross multiply
    470,892.39x = 649,826.92 × 256,032.46
  4. Step 4: Simplify right side
    470,892.39x = 166,376,784,901.82
  5. Step 5: Solve for x
    x = 166,376,784,901.82/470,892.39
  6. Step 6: Final answer
    x = 353,322.31

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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.