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Finding the Fourth Proportional to 314,578.02, 471,400.48 and 231,063.78

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Solution

The fourth proportional to 314,578.02, 471,400.48 and 231,063.78 is: 346,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,578.02 : 471,400.48 = 231,063.78 : x
  2. Step 2: Convert to fraction form
    314,578.02/471,400.48 = 231,063.78/x
  3. Step 3: Cross multiply
    314,578.02x = 471,400.48 × 231,063.78
  4. Step 4: Simplify right side
    314,578.02x = 108,923,576,802.61
  5. Step 5: Solve for x
    x = 108,923,576,802.61/314,578.02
  6. Step 6: Final answer
    x = 346,252.98

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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.