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Finding the Fourth Proportional to 507,947.20, 763,677.60 and 475,057.60

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Solution

The fourth proportional to 507,947.20, 763,677.60 and 475,057.60 is: 714,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,947.20 : 763,677.60 = 475,057.60 : x
  2. Step 2: Convert to fraction form
    507,947.20/763,677.60 = 475,057.60/x
  3. Step 3: Cross multiply
    507,947.20x = 763,677.60 × 475,057.60
  4. Step 4: Simplify right side
    507,947.20x = 362,790,847,829.76
  5. Step 5: Solve for x
    x = 362,790,847,829.76/507,947.20
  6. Step 6: Final answer
    x = 714,229.45

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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.