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Finding the Fourth Proportional to 293,897.85, 440,838.27 and 174,771.96

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Solution

The fourth proportional to 293,897.85, 440,838.27 and 174,771.96 is: 262,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,897.85 : 440,838.27 = 174,771.96 : x
  2. Step 2: Convert to fraction form
    293,897.85/440,838.27 = 174,771.96/x
  3. Step 3: Cross multiply
    293,897.85x = 440,838.27 × 174,771.96
  4. Step 4: Simplify right side
    293,897.85x = 77,046,168,490.91
  5. Step 5: Solve for x
    x = 77,046,168,490.91/293,897.85
  6. Step 6: Final answer
    x = 262,152.88

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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.