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Finding the Fourth Proportional to 470,578.24, 649,395.84 and 255,714.24

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Solution

The fourth proportional to 470,578.24, 649,395.84 and 255,714.24 is: 352,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,578.24 : 649,395.84 = 255,714.24 : x
  2. Step 2: Convert to fraction form
    470,578.24/649,395.84 = 255,714.24/x
  3. Step 3: Cross multiply
    470,578.24x = 649,395.84 × 255,714.24
  4. Step 4: Simplify right side
    470,578.24x = 166,059,763,684.76
  5. Step 5: Solve for x
    x = 166,059,763,684.76/470,578.24
  6. Step 6: Final answer
    x = 352,884.49

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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.