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Finding the Fourth Proportional to 312,783.39, 469,103.13 and 186,459.30

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Solution

The fourth proportional to 312,783.39, 469,103.13 and 186,459.30 is: 279,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,783.39 : 469,103.13 = 186,459.30 : x
  2. Step 2: Convert to fraction form
    312,783.39/469,103.13 = 186,459.30/x
  3. Step 3: Cross multiply
    312,783.39x = 469,103.13 × 186,459.30
  4. Step 4: Simplify right side
    312,783.39x = 87,468,641,247.61
  5. Step 5: Solve for x
    x = 87,468,641,247.61/312,783.39
  6. Step 6: Final answer
    x = 279,646.06

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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.