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Finding the Fourth Proportional to 459,808.60, 689,712.90 and 223,612.60

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Solution

The fourth proportional to 459,808.60, 689,712.90 and 223,612.60 is: 335,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,808.60 : 689,712.90 = 223,612.60 : x
  2. Step 2: Convert to fraction form
    459,808.60/689,712.90 = 223,612.60/x
  3. Step 3: Cross multiply
    459,808.60x = 689,712.90 × 223,612.60
  4. Step 4: Simplify right side
    459,808.60x = 154,228,494,822.54
  5. Step 5: Solve for x
    x = 154,228,494,822.54/459,808.60
  6. Step 6: Final answer
    x = 335,418.90

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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.