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Finding the Fourth Proportional to 366,813.80, 549,900.70 and 142,327.40

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Solution

The fourth proportional to 366,813.80, 549,900.70 and 142,327.40 is: 213,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,813.80 : 549,900.70 = 142,327.40 : x
  2. Step 2: Convert to fraction form
    366,813.80/549,900.70 = 142,327.40/x
  3. Step 3: Cross multiply
    366,813.80x = 549,900.70 × 142,327.40
  4. Step 4: Simplify right side
    366,813.80x = 78,265,936,889.18
  5. Step 5: Solve for x
    x = 78,265,936,889.18/366,813.80
  6. Step 6: Final answer
    x = 213,366.94

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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.