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Finding the Fourth Proportional to 565,930.50, 781,095.01 and 324,374.98

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Solution

The fourth proportional to 565,930.50, 781,095.01 and 324,374.98 is: 447,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,930.50 : 781,095.01 = 324,374.98 : x
  2. Step 2: Convert to fraction form
    565,930.50/781,095.01 = 324,374.98/x
  3. Step 3: Cross multiply
    565,930.50x = 781,095.01 × 324,374.98
  4. Step 4: Simplify right side
    565,930.50x = 253,367,678,246.85
  5. Step 5: Solve for x
    x = 253,367,678,246.85/565,930.50
  6. Step 6: Final answer
    x = 447,701.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.