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Finding the Fourth Proportional to 567,088.31, 782,581.44 and 312,439.50

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Solution

The fourth proportional to 567,088.31, 782,581.44 and 312,439.50 is: 431,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,088.31 : 782,581.44 = 312,439.50 : x
  2. Step 2: Convert to fraction form
    567,088.31/782,581.44 = 312,439.50/x
  3. Step 3: Cross multiply
    567,088.31x = 782,581.44 × 312,439.50
  4. Step 4: Simplify right side
    567,088.31x = 244,509,351,866.43
  5. Step 5: Solve for x
    x = 244,509,351,866.43/567,088.31
  6. Step 6: Final answer
    x = 431,166.27

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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.