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Finding the Fourth Proportional to 584,598.57, 806,880.84 and 342,958.77

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Solution

The fourth proportional to 584,598.57, 806,880.84 and 342,958.77 is: 473,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,598.57 : 806,880.84 = 342,958.77 : x
  2. Step 2: Convert to fraction form
    584,598.57/806,880.84 = 342,958.77/x
  3. Step 3: Cross multiply
    584,598.57x = 806,880.84 × 342,958.77
  4. Step 4: Simplify right side
    584,598.57x = 276,726,860,422.97
  5. Step 5: Solve for x
    x = 276,726,860,422.97/584,598.57
  6. Step 6: Final answer
    x = 473,362.19

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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.