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Finding the Fourth Proportional to 563,797.92, 778,038.84 and 309,165.24

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Solution

The fourth proportional to 563,797.92, 778,038.84 and 309,165.24 is: 426,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,797.92 : 778,038.84 = 309,165.24 : x
  2. Step 2: Convert to fraction form
    563,797.92/778,038.84 = 309,165.24/x
  3. Step 3: Cross multiply
    563,797.92x = 778,038.84 × 309,165.24
  4. Step 4: Simplify right side
    563,797.92x = 240,542,564,697.92
  5. Step 5: Solve for x
    x = 240,542,564,697.92/563,797.92
  6. Step 6: Final answer
    x = 426,646.78

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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.