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Finding the Fourth Proportional to 893,085, 1,232,476.74 and 490,677

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Solution

The fourth proportional to 893,085, 1,232,476.74 and 490,677 is: 677,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,085 : 1,232,476.74 = 490,677 : x
  2. Step 2: Convert to fraction form
    893,085/1,232,476.74 = 490,677/x
  3. Step 3: Cross multiply
    893,085x = 1,232,476.74 × 490,677
  4. Step 4: Simplify right side
    893,085x = 604,747,989,352.98
  5. Step 5: Solve for x
    x = 604,747,989,352.98/893,085
  6. Step 6: Final answer
    x = 677,144.94

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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.