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Finding the Fourth Proportional to 565,552.84, 780,477.96 and 307,447.24

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Solution

The fourth proportional to 565,552.84, 780,477.96 and 307,447.24 is: 424,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,552.84 : 780,477.96 = 307,447.24 : x
  2. Step 2: Convert to fraction form
    565,552.84/780,477.96 = 307,447.24/x
  3. Step 3: Cross multiply
    565,552.84x = 780,477.96 × 307,447.24
  4. Step 4: Simplify right side
    565,552.84x = 239,955,794,682.83
  5. Step 5: Solve for x
    x = 239,955,794,682.83/565,552.84
  6. Step 6: Final answer
    x = 424,285.37

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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.