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Finding the Fourth Proportional to 366,896.80, 549,664.80 and 208,655.20

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Solution

The fourth proportional to 366,896.80, 549,664.80 and 208,655.20 is: 312,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,896.80 : 549,664.80 = 208,655.20 : x
  2. Step 2: Convert to fraction form
    366,896.80/549,664.80 = 208,655.20/x
  3. Step 3: Cross multiply
    366,896.80x = 549,664.80 × 208,655.20
  4. Step 4: Simplify right side
    366,896.80x = 114,690,418,776.96
  5. Step 5: Solve for x
    x = 114,690,418,776.96/366,896.80
  6. Step 6: Final answer
    x = 312,595.85

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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.