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Finding the Fourth Proportional to 470,405.48, 649,165.08 and 255,548.92

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Solution

The fourth proportional to 470,405.48, 649,165.08 and 255,548.92 is: 352,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.48 : 649,165.08 = 255,548.92 : x
  2. Step 2: Convert to fraction form
    470,405.48/649,165.08 = 255,548.92/x
  3. Step 3: Cross multiply
    470,405.48x = 649,165.08 × 255,548.92
  4. Step 4: Simplify right side
    470,405.48x = 165,893,435,095.71
  5. Step 5: Solve for x
    x = 165,893,435,095.71/470,405.48
  6. Step 6: Final answer
    x = 352,660.51

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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.