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Finding the Fourth Proportional to 319,074.53, 440,321.90 and 175,834.54

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Solution

The fourth proportional to 319,074.53, 440,321.90 and 175,834.54 is: 242,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,074.53 : 440,321.90 = 175,834.54 : x
  2. Step 2: Convert to fraction form
    319,074.53/440,321.90 = 175,834.54/x
  3. Step 3: Cross multiply
    319,074.53x = 440,321.90 × 175,834.54
  4. Step 4: Simplify right side
    319,074.53x = 77,423,796,758.45
  5. Step 5: Solve for x
    x = 77,423,796,758.45/319,074.53
  6. Step 6: Final answer
    x = 242,651.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.