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Finding the Fourth Proportional to 459,803.60, 689,697.35 and 206,905.10

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Solution

The fourth proportional to 459,803.60, 689,697.35 and 206,905.10 is: 310,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,803.60 : 689,697.35 = 206,905.10 : x
  2. Step 2: Convert to fraction form
    459,803.60/689,697.35 = 206,905.10/x
  3. Step 3: Cross multiply
    459,803.60x = 689,697.35 × 206,905.10
  4. Step 4: Simplify right side
    459,803.60x = 142,701,895,464.37
  5. Step 5: Solve for x
    x = 142,701,895,464.37/459,803.60
  6. Step 6: Final answer
    x = 310,354.02

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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.