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Finding the Fourth Proportional to 597,611.25, 824,703.54 and 329,339.25

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Solution

The fourth proportional to 597,611.25, 824,703.54 and 329,339.25 is: 454,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,611.25 : 824,703.54 = 329,339.25 : x
  2. Step 2: Convert to fraction form
    597,611.25/824,703.54 = 329,339.25/x
  3. Step 3: Cross multiply
    597,611.25x = 824,703.54 × 329,339.25
  4. Step 4: Simplify right side
    597,611.25x = 271,607,245,953.46
  5. Step 5: Solve for x
    x = 271,607,245,953.46/597,611.25
  6. Step 6: Final answer
    x = 454,488.17

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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.