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Finding the Fourth Proportional to 584,028.24, 805,910.70 and 329,442

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Solution

The fourth proportional to 584,028.24, 805,910.70 and 329,442 is: 454,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,028.24 : 805,910.70 = 329,442 : x
  2. Step 2: Convert to fraction form
    584,028.24/805,910.70 = 329,442/x
  3. Step 3: Cross multiply
    584,028.24x = 805,910.70 × 329,442
  4. Step 4: Simplify right side
    584,028.24x = 265,500,832,829.40
  5. Step 5: Solve for x
    x = 265,500,832,829.40/584,028.24
  6. Step 6: Final answer
    x = 454,602.73

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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.