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Finding the Fourth Proportional to 385,309.60, 578,054.64 and 160,816.80

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Solution

The fourth proportional to 385,309.60, 578,054.64 and 160,816.80 is: 241,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,309.60 : 578,054.64 = 160,816.80 : x
  2. Step 2: Convert to fraction form
    385,309.60/578,054.64 = 160,816.80/x
  3. Step 3: Cross multiply
    385,309.60x = 578,054.64 × 160,816.80
  4. Step 4: Simplify right side
    385,309.60x = 92,960,897,429.95
  5. Step 5: Solve for x
    x = 92,960,897,429.95/385,309.60
  6. Step 6: Final answer
    x = 241,262.86

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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.