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Finding the Fourth Proportional to 597,744, 824,886.72 and 329,477.76

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Solution

The fourth proportional to 597,744, 824,886.72 and 329,477.76 is: 454,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,744 : 824,886.72 = 329,477.76 : x
  2. Step 2: Convert to fraction form
    597,744/824,886.72 = 329,477.76/x
  3. Step 3: Cross multiply
    597,744x = 824,886.72 × 329,477.76
  4. Step 4: Simplify right side
    597,744x = 271,781,828,759.35
  5. Step 5: Solve for x
    x = 271,781,828,759.35/597,744
  6. Step 6: Final answer
    x = 454,679.31

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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.