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Finding the Fourth Proportional to 601,327.77, 829,796.88 and 329,341.50

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Solution

The fourth proportional to 601,327.77, 829,796.88 and 329,341.50 is: 454,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,327.77 : 829,796.88 = 329,341.50 : x
  2. Step 2: Convert to fraction form
    601,327.77/829,796.88 = 329,341.50/x
  3. Step 3: Cross multiply
    601,327.77x = 829,796.88 × 329,341.50
  4. Step 4: Simplify right side
    601,327.77x = 273,286,549,154.52
  5. Step 5: Solve for x
    x = 273,286,549,154.52/601,327.77
  6. Step 6: Final answer
    x = 454,471.86

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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.