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Finding the Fourth Proportional to 589,622.92, 813,577.62 and 347,887.24

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Solution

The fourth proportional to 589,622.92, 813,577.62 and 347,887.24 is: 480,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,622.92 : 813,577.62 = 347,887.24 : x
  2. Step 2: Convert to fraction form
    589,622.92/813,577.62 = 347,887.24/x
  3. Step 3: Cross multiply
    589,622.92x = 813,577.62 × 347,887.24
  4. Step 4: Simplify right side
    589,622.92x = 283,033,272,747.57
  5. Step 5: Solve for x
    x = 283,033,272,747.57/589,622.92
  6. Step 6: Final answer
    x = 480,024.20

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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.