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Finding the Fourth Proportional to 614,105.30, 922,108.35 and 334,169.30

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Solution

The fourth proportional to 614,105.30, 922,108.35 and 334,169.30 is: 501,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,105.30 : 922,108.35 = 334,169.30 : x
  2. Step 2: Convert to fraction form
    614,105.30/922,108.35 = 334,169.30/x
  3. Step 3: Cross multiply
    614,105.30x = 922,108.35 × 334,169.30
  4. Step 4: Simplify right side
    614,105.30x = 308,140,301,843.66
  5. Step 5: Solve for x
    x = 308,140,301,843.66/614,105.30
  6. Step 6: Final answer
    x = 501,771.12

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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.