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Finding the Fourth Proportional to 587,222.40, 880,444.80 and 213,196.80

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Solution

The fourth proportional to 587,222.40, 880,444.80 and 213,196.80 is: 319,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,222.40 : 880,444.80 = 213,196.80 : x
  2. Step 2: Convert to fraction form
    587,222.40/880,444.80 = 213,196.80/x
  3. Step 3: Cross multiply
    587,222.40x = 880,444.80 × 213,196.80
  4. Step 4: Simplify right side
    587,222.40x = 187,708,013,936.64
  5. Step 5: Solve for x
    x = 187,708,013,936.64/587,222.40
  6. Step 6: Final answer
    x = 319,654.04

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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.