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Finding the Fourth Proportional to 584,018.24, 805,896.94 and 329,432

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Solution

The fourth proportional to 584,018.24, 805,896.94 and 329,432 is: 454,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,018.24 : 805,896.94 = 329,432 : x
  2. Step 2: Convert to fraction form
    584,018.24/805,896.94 = 329,432/x
  3. Step 3: Cross multiply
    584,018.24x = 805,896.94 × 329,432
  4. Step 4: Simplify right side
    584,018.24x = 265,488,240,738.08
  5. Step 5: Solve for x
    x = 265,488,240,738.08/584,018.24
  6. Step 6: Final answer
    x = 454,588.95

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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.