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Finding the Fourth Proportional to 366,847.80, 549,951.70 and 142,361.40

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Solution

The fourth proportional to 366,847.80, 549,951.70 and 142,361.40 is: 213,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,847.80 : 549,951.70 = 142,361.40 : x
  2. Step 2: Convert to fraction form
    366,847.80/549,951.70 = 142,361.40/x
  3. Step 3: Cross multiply
    366,847.80x = 549,951.70 × 142,361.40
  4. Step 4: Simplify right side
    366,847.80x = 78,291,893,944.38
  5. Step 5: Solve for x
    x = 78,291,893,944.38/366,847.80
  6. Step 6: Final answer
    x = 213,417.92

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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.