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Finding the Fourth Proportional to 566,718.46, 782,070.24 and 308,591.40

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Solution

The fourth proportional to 566,718.46, 782,070.24 and 308,591.40 is: 425,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,718.46 : 782,070.24 = 308,591.40 : x
  2. Step 2: Convert to fraction form
    566,718.46/782,070.24 = 308,591.40/x
  3. Step 3: Cross multiply
    566,718.46x = 782,070.24 × 308,591.40
  4. Step 4: Simplify right side
    566,718.46x = 241,340,150,259.94
  5. Step 5: Solve for x
    x = 241,340,150,259.94/566,718.46
  6. Step 6: Final answer
    x = 425,855.46

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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.