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Finding the Fourth Proportional to 309,127.50, 463,377.54 and 175,732.14

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Solution

The fourth proportional to 309,127.50, 463,377.54 and 175,732.14 is: 263,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,127.50 : 463,377.54 = 175,732.14 : x
  2. Step 2: Convert to fraction form
    309,127.50/463,377.54 = 175,732.14/x
  3. Step 3: Cross multiply
    309,127.50x = 463,377.54 × 175,732.14
  4. Step 4: Simplify right side
    309,127.50x = 81,430,326,732.14
  5. Step 5: Solve for x
    x = 81,430,326,732.14/309,127.50
  6. Step 6: Final answer
    x = 263,419.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.