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Finding the Fourth Proportional to 505,424.76, 758,502.95 and 197,722.13

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Solution

The fourth proportional to 505,424.76, 758,502.95 and 197,722.13 is: 296,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,424.76 : 758,502.95 = 197,722.13 : x
  2. Step 2: Convert to fraction form
    505,424.76/758,502.95 = 197,722.13/x
  3. Step 3: Cross multiply
    505,424.76x = 758,502.95 × 197,722.13
  4. Step 4: Simplify right side
    505,424.76x = 149,972,815,092.77
  5. Step 5: Solve for x
    x = 149,972,815,092.77/505,424.76
  6. Step 6: Final answer
    x = 296,726.30

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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.