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Finding the Fourth Proportional to 347,710.86, 521,566.30 and 189,853.20

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Solution

The fourth proportional to 347,710.86, 521,566.30 and 189,853.20 is: 284,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,710.86 : 521,566.30 = 189,853.20 : x
  2. Step 2: Convert to fraction form
    347,710.86/521,566.30 = 189,853.20/x
  3. Step 3: Cross multiply
    347,710.86x = 521,566.30 × 189,853.20
  4. Step 4: Simplify right side
    347,710.86x = 99,021,031,067.16
  5. Step 5: Solve for x
    x = 99,021,031,067.16/347,710.86
  6. Step 6: Final answer
    x = 284,779.81

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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.