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Finding the Fourth Proportional to 647,196, 893,092.07 and 371,490.17

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Solution

The fourth proportional to 647,196, 893,092.07 and 371,490.17 is: 512,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,196 : 893,092.07 = 371,490.17 : x
  2. Step 2: Convert to fraction form
    647,196/893,092.07 = 371,490.17/x
  3. Step 3: Cross multiply
    647,196x = 893,092.07 × 371,490.17
  4. Step 4: Simplify right side
    647,196x = 331,774,918,587.04
  5. Step 5: Solve for x
    x = 331,774,918,587.04/647,196
  6. Step 6: Final answer
    x = 512,634.38

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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.