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Finding the Fourth Proportional to 257,070.40, 385,605.60 and 79,631.80

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Solution

The fourth proportional to 257,070.40, 385,605.60 and 79,631.80 is: 119,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,070.40 : 385,605.60 = 79,631.80 : x
  2. Step 2: Convert to fraction form
    257,070.40/385,605.60 = 79,631.80/x
  3. Step 3: Cross multiply
    257,070.40x = 385,605.60 × 79,631.80
  4. Step 4: Simplify right side
    257,070.40x = 30,706,468,018.08
  5. Step 5: Solve for x
    x = 30,706,468,018.08/257,070.40
  6. Step 6: Final answer
    x = 119,447.70

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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.