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Finding the Fourth Proportional to 413,314.83, 620,037.05 and 176,658.75

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Solution

The fourth proportional to 413,314.83, 620,037.05 and 176,658.75 is: 265,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,314.83 : 620,037.05 = 176,658.75 : x
  2. Step 2: Convert to fraction form
    413,314.83/620,037.05 = 176,658.75/x
  3. Step 3: Cross multiply
    413,314.83x = 620,037.05 × 176,658.75
  4. Step 4: Simplify right side
    413,314.83x = 109,534,969,323.39
  5. Step 5: Solve for x
    x = 109,534,969,323.39/413,314.83
  6. Step 6: Final answer
    x = 265,015.82

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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.