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Finding the Fourth Proportional to 366,884.80, 549,646.80 and 208,643.20

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Solution

The fourth proportional to 366,884.80, 549,646.80 and 208,643.20 is: 312,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,884.80 : 549,646.80 = 208,643.20 : x
  2. Step 2: Convert to fraction form
    366,884.80/549,646.80 = 208,643.20/x
  3. Step 3: Cross multiply
    366,884.80x = 549,646.80 × 208,643.20
  4. Step 4: Simplify right side
    366,884.80x = 114,680,067,221.76
  5. Step 5: Solve for x
    x = 114,680,067,221.76/366,884.80
  6. Step 6: Final answer
    x = 312,577.86

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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.