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Finding the Fourth Proportional to 459,287.24, 688,946.40 and 159,770.40

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Solution

The fourth proportional to 459,287.24, 688,946.40 and 159,770.40 is: 239,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,287.24 : 688,946.40 = 159,770.40 : x
  2. Step 2: Convert to fraction form
    459,287.24/688,946.40 = 159,770.40/x
  3. Step 3: Cross multiply
    459,287.24x = 688,946.40 × 159,770.40
  4. Step 4: Simplify right side
    459,287.24x = 110,073,241,906.56
  5. Step 5: Solve for x
    x = 110,073,241,906.56/459,287.24
  6. Step 6: Final answer
    x = 239,661.01

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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.