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Finding the Fourth Proportional to 549,790.20, 824,205.30 and 213,060.60

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Solution

The fourth proportional to 549,790.20, 824,205.30 and 213,060.60 is: 319,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,790.20 : 824,205.30 = 213,060.60 : x
  2. Step 2: Convert to fraction form
    549,790.20/824,205.30 = 213,060.60/x
  3. Step 3: Cross multiply
    549,790.20x = 824,205.30 × 213,060.60
  4. Step 4: Simplify right side
    549,790.20x = 175,605,675,741.18
  5. Step 5: Solve for x
    x = 175,605,675,741.18/549,790.20
  6. Step 6: Final answer
    x = 319,404.89

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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.