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Finding the Fourth Proportional to 459,714, 689,440.32 and 193,535.04

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Solution

The fourth proportional to 459,714, 689,440.32 and 193,535.04 is: 290,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,714 : 689,440.32 = 193,535.04 : x
  2. Step 2: Convert to fraction form
    459,714/689,440.32 = 193,535.04/x
  3. Step 3: Cross multiply
    459,714x = 689,440.32 × 193,535.04
  4. Step 4: Simplify right side
    459,714x = 133,430,859,908.81
  5. Step 5: Solve for x
    x = 133,430,859,908.81/459,714
  6. Step 6: Final answer
    x = 290,247.55

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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.