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Finding the Fourth Proportional to 553,591.36, 830,649.12 and 329,394.88

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Solution

The fourth proportional to 553,591.36, 830,649.12 and 329,394.88 is: 494,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,591.36 : 830,649.12 = 329,394.88 : x
  2. Step 2: Convert to fraction form
    553,591.36/830,649.12 = 329,394.88/x
  3. Step 3: Cross multiply
    553,591.36x = 830,649.12 × 329,394.88
  4. Step 4: Simplify right side
    553,591.36x = 273,611,567,204.51
  5. Step 5: Solve for x
    x = 273,611,567,204.51/553,591.36
  6. Step 6: Final answer
    x = 494,248.26

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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.