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Finding the Fourth Proportional to 550,040.94, 824,854.04 and 230,214.98

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Solution

The fourth proportional to 550,040.94, 824,854.04 and 230,214.98 is: 345,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,040.94 : 824,854.04 = 230,214.98 : x
  2. Step 2: Convert to fraction form
    550,040.94/824,854.04 = 230,214.98/x
  3. Step 3: Cross multiply
    550,040.94x = 824,854.04 × 230,214.98
  4. Step 4: Simplify right side
    550,040.94x = 189,893,756,321.52
  5. Step 5: Solve for x
    x = 189,893,756,321.52/550,040.94
  6. Step 6: Final answer
    x = 345,235.68

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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.