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Finding the Fourth Proportional to 334,042.70, 499,897.65 and 233,732.30

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Solution

The fourth proportional to 334,042.70, 499,897.65 and 233,732.30 is: 349,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,042.70 : 499,897.65 = 233,732.30 : x
  2. Step 2: Convert to fraction form
    334,042.70/499,897.65 = 233,732.30/x
  3. Step 3: Cross multiply
    334,042.70x = 499,897.65 × 233,732.30
  4. Step 4: Simplify right side
    334,042.70x = 116,842,227,499.10
  5. Step 5: Solve for x
    x = 116,842,227,499.10/334,042.70
  6. Step 6: Final answer
    x = 349,782.31

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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.