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Finding the Fourth Proportional to 537,887.34, 806,573.79 and 313,311.87

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Solution

The fourth proportional to 537,887.34, 806,573.79 and 313,311.87 is: 469,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,887.34 : 806,573.79 = 313,311.87 : x
  2. Step 2: Convert to fraction form
    537,887.34/806,573.79 = 313,311.87/x
  3. Step 3: Cross multiply
    537,887.34x = 806,573.79 × 313,311.87
  4. Step 4: Simplify right side
    537,887.34x = 252,709,142,437.89
  5. Step 5: Solve for x
    x = 252,709,142,437.89/537,887.34
  6. Step 6: Final answer
    x = 469,817.98

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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.