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Finding the Fourth Proportional to 470,883.60, 706,714.20 and 218,552.40

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Solution

The fourth proportional to 470,883.60, 706,714.20 and 218,552.40 is: 328,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,883.60 : 706,714.20 = 218,552.40 : x
  2. Step 2: Convert to fraction form
    470,883.60/706,714.20 = 218,552.40/x
  3. Step 3: Cross multiply
    470,883.60x = 706,714.20 × 218,552.40
  4. Step 4: Simplify right side
    470,883.60x = 154,454,084,524.08
  5. Step 5: Solve for x
    x = 154,454,084,524.08/470,883.60
  6. Step 6: Final answer
    x = 328,009.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.