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Finding the Fourth Proportional to 470,456.32, 649,232.80 and 255,596.32

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Solution

The fourth proportional to 470,456.32, 649,232.80 and 255,596.32 is: 352,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456.32 : 649,232.80 = 255,596.32 : x
  2. Step 2: Convert to fraction form
    470,456.32/649,232.80 = 255,596.32/x
  3. Step 3: Cross multiply
    470,456.32x = 649,232.80 × 255,596.32
  4. Step 4: Simplify right side
    470,456.32x = 165,941,514,503.30
  5. Step 5: Solve for x
    x = 165,941,514,503.30/470,456.32
  6. Step 6: Final answer
    x = 352,724.59

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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.