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Finding the Fourth Proportional to 339,500.84, 509,306.34 and 114,875.06

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Solution

The fourth proportional to 339,500.84, 509,306.34 and 114,875.06 is: 172,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,500.84 : 509,306.34 = 114,875.06 : x
  2. Step 2: Convert to fraction form
    339,500.84/509,306.34 = 114,875.06/x
  3. Step 3: Cross multiply
    339,500.84x = 509,306.34 × 114,875.06
  4. Step 4: Simplify right side
    339,500.84x = 58,506,596,365.88
  5. Step 5: Solve for x
    x = 58,506,596,365.88/339,500.84
  6. Step 6: Final answer
    x = 172,331.23

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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.