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Finding the Fourth Proportional to 592,323.40, 817,403.25 and 320,390.47

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Solution

The fourth proportional to 592,323.40, 817,403.25 and 320,390.47 is: 442,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,323.40 : 817,403.25 = 320,390.47 : x
  2. Step 2: Convert to fraction form
    592,323.40/817,403.25 = 320,390.47/x
  3. Step 3: Cross multiply
    592,323.40x = 817,403.25 × 320,390.47
  4. Step 4: Simplify right side
    592,323.40x = 261,888,211,447.03
  5. Step 5: Solve for x
    x = 261,888,211,447.03/592,323.40
  6. Step 6: Final answer
    x = 442,137.20

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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.