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Finding the Fourth Proportional to 593,411.86, 890,257.82 and 194,051.08

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Solution

The fourth proportional to 593,411.86, 890,257.82 and 194,051.08 is: 291,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,411.86 : 890,257.82 = 194,051.08 : x
  2. Step 2: Convert to fraction form
    593,411.86/890,257.82 = 194,051.08/x
  3. Step 3: Cross multiply
    593,411.86x = 890,257.82 × 194,051.08
  4. Step 4: Simplify right side
    593,411.86x = 172,755,488,253.55
  5. Step 5: Solve for x
    x = 172,755,488,253.55/593,411.86
  6. Step 6: Final answer
    x = 291,122.41

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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.