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Finding the Fourth Proportional to 592,284, 888,518.32 and 192,830.48

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Solution

The fourth proportional to 592,284, 888,518.32 and 192,830.48 is: 289,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,284 : 888,518.32 = 192,830.48 : x
  2. Step 2: Convert to fraction form
    592,284/888,518.32 = 192,830.48/x
  3. Step 3: Cross multiply
    592,284x = 888,518.32 × 192,830.48
  4. Step 4: Simplify right side
    592,284x = 171,333,414,134.39
  5. Step 5: Solve for x
    x = 171,333,414,134.39/592,284
  6. Step 6: Final answer
    x = 289,275.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.