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Finding the Fourth Proportional to 597,746, 824,889.48 and 329,479.76

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Solution

The fourth proportional to 597,746, 824,889.48 and 329,479.76 is: 454,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,746 : 824,889.48 = 329,479.76 : x
  2. Step 2: Convert to fraction form
    597,746/824,889.48 = 329,479.76/x
  3. Step 3: Cross multiply
    597,746x = 824,889.48 × 329,479.76
  4. Step 4: Simplify right side
    597,746x = 271,784,387,896.93
  5. Step 5: Solve for x
    x = 271,784,387,896.93/597,746
  6. Step 6: Final answer
    x = 454,682.07

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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.