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Finding the Fourth Proportional to 597,751.84, 824,897.55 and 329,479.84

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Solution

The fourth proportional to 597,751.84, 824,897.55 and 329,479.84 is: 454,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,751.84 : 824,897.55 = 329,479.84 : x
  2. Step 2: Convert to fraction form
    597,751.84/824,897.55 = 329,479.84/x
  3. Step 3: Cross multiply
    597,751.84x = 824,897.55 × 329,479.84
  4. Step 4: Simplify right side
    597,751.84x = 271,787,112,790.39
  5. Step 5: Solve for x
    x = 271,787,112,790.39/597,751.84
  6. Step 6: Final answer
    x = 454,682.19

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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.