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Finding the Fourth Proportional to 596,309.60, 822,929.22 and 341,710

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Solution

The fourth proportional to 596,309.60, 822,929.22 and 341,710 is: 471,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,309.60 : 822,929.22 = 341,710 : x
  2. Step 2: Convert to fraction form
    596,309.60/822,929.22 = 341,710/x
  3. Step 3: Cross multiply
    596,309.60x = 822,929.22 × 341,710
  4. Step 4: Simplify right side
    596,309.60x = 281,203,143,766.20
  5. Step 5: Solve for x
    x = 281,203,143,766.20/596,309.60
  6. Step 6: Final answer
    x = 471,572.39

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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.