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Finding the Fourth Proportional to 549,704.29, 824,660.02 and 208,250.00

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Solution

The fourth proportional to 549,704.29, 824,660.02 and 208,250.00 is: 312,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,704.29 : 824,660.02 = 208,250.00 : x
  2. Step 2: Convert to fraction form
    549,704.29/824,660.02 = 208,250.00/x
  3. Step 3: Cross multiply
    549,704.29x = 824,660.02 × 208,250.00
  4. Step 4: Simplify right side
    549,704.29x = 171,735,446,582.73
  5. Step 5: Solve for x
    x = 171,735,446,582.73/549,704.29
  6. Step 6: Final answer
    x = 312,414.24

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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.