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Finding the Fourth Proportional to 584,597.57, 806,879.46 and 342,957.77

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Solution

The fourth proportional to 584,597.57, 806,879.46 and 342,957.77 is: 473,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,597.57 : 806,879.46 = 342,957.77 : x
  2. Step 2: Convert to fraction form
    584,597.57/806,879.46 = 342,957.77/x
  3. Step 3: Cross multiply
    584,597.57x = 806,879.46 × 342,957.77
  4. Step 4: Simplify right side
    584,597.57x = 276,725,580,260.40
  5. Step 5: Solve for x
    x = 276,725,580,260.40/584,597.57
  6. Step 6: Final answer
    x = 473,360.81

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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.