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Finding the Fourth Proportional to 339,666.48, 509,511.06 and 152,678.52

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Solution

The fourth proportional to 339,666.48, 509,511.06 and 152,678.52 is: 229,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,666.48 : 509,511.06 = 152,678.52 : x
  2. Step 2: Convert to fraction form
    339,666.48/509,511.06 = 152,678.52/x
  3. Step 3: Cross multiply
    339,666.48x = 509,511.06 × 152,678.52
  4. Step 4: Simplify right side
    339,666.48x = 77,791,394,564.43
  5. Step 5: Solve for x
    x = 77,791,394,564.43/339,666.48
  6. Step 6: Final answer
    x = 229,022.88

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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.