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Finding the Fourth Proportional to 309,126.52, 463,376.06 and 175,731.14

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Solution

The fourth proportional to 309,126.52, 463,376.06 and 175,731.14 is: 263,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,126.52 : 463,376.06 = 175,731.14 : x
  2. Step 2: Convert to fraction form
    309,126.52/463,376.06 = 175,731.14/x
  3. Step 3: Cross multiply
    309,126.52x = 463,376.06 × 175,731.14
  4. Step 4: Simplify right side
    309,126.52x = 81,429,603,272.51
  5. Step 5: Solve for x
    x = 81,429,603,272.51/309,126.52
  6. Step 6: Final answer
    x = 263,418.37

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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.