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Finding the Fourth Proportional to 459,410.82, 689,010.53 and 175,133.63

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Solution

The fourth proportional to 459,410.82, 689,010.53 and 175,133.63 is: 262,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,410.82 : 689,010.53 = 175,133.63 : x
  2. Step 2: Convert to fraction form
    459,410.82/689,010.53 = 175,133.63/x
  3. Step 3: Cross multiply
    459,410.82x = 689,010.53 × 175,133.63
  4. Step 4: Simplify right side
    459,410.82x = 120,668,910,906.40
  5. Step 5: Solve for x
    x = 120,668,910,906.40/459,410.82
  6. Step 6: Final answer
    x = 262,660.14

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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.