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Finding the Fourth Proportional to 592,640.34, 817,843.65 and 320,708.24

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Solution

The fourth proportional to 592,640.34, 817,843.65 and 320,708.24 is: 442,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,640.34 : 817,843.65 = 320,708.24 : x
  2. Step 2: Convert to fraction form
    592,640.34/817,843.65 = 320,708.24/x
  3. Step 3: Cross multiply
    592,640.34x = 817,843.65 × 320,708.24
  4. Step 4: Simplify right side
    592,640.34x = 262,289,193,497.46
  5. Step 5: Solve for x
    x = 262,289,193,497.46/592,640.34
  6. Step 6: Final answer
    x = 442,577.35

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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.