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Finding the Fourth Proportional to 597,543, 824,626.62 and 329,288.28

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Solution

The fourth proportional to 597,543, 824,626.62 and 329,288.28 is: 454,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,543 : 824,626.62 = 329,288.28 : x
  2. Step 2: Convert to fraction form
    597,543/824,626.62 = 329,288.28/x
  3. Step 3: Cross multiply
    597,543x = 824,626.62 × 329,288.28
  4. Step 4: Simplify right side
    597,543x = 271,539,881,342.01
  5. Step 5: Solve for x
    x = 271,539,881,342.01/597,543
  6. Step 6: Final answer
    x = 454,427.35

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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.