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Finding the Fourth Proportional to 592,662, 817,873.50 and 320,729.88

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Solution

The fourth proportional to 592,662, 817,873.50 and 320,729.88 is: 442,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,662 : 817,873.50 = 320,729.88 : x
  2. Step 2: Convert to fraction form
    592,662/817,873.50 = 320,729.88/x
  3. Step 3: Cross multiply
    592,662x = 817,873.50 × 320,729.88
  4. Step 4: Simplify right side
    592,662x = 262,316,469,510.18
  5. Step 5: Solve for x
    x = 262,316,469,510.18/592,662
  6. Step 6: Final answer
    x = 442,607.20

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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.