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Finding the Fourth Proportional to 365,623.68, 548,400.96 and 116,261.76

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Solution

The fourth proportional to 365,623.68, 548,400.96 and 116,261.76 is: 174,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,623.68 : 548,400.96 = 116,261.76 : x
  2. Step 2: Convert to fraction form
    365,623.68/548,400.96 = 116,261.76/x
  3. Step 3: Cross multiply
    365,623.68x = 548,400.96 × 116,261.76
  4. Step 4: Simplify right side
    365,623.68x = 63,758,060,795.29
  5. Step 5: Solve for x
    x = 63,758,060,795.29/365,623.68
  6. Step 6: Final answer
    x = 174,381.65

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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.