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Finding the Fourth Proportional to 1,398,427.84, 1,929,978.57 and 854,881.84

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Solution

The fourth proportional to 1,398,427.84, 1,929,978.57 and 854,881.84 is: 1,179,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,427.84 : 1,929,978.57 = 854,881.84 : x
  2. Step 2: Convert to fraction form
    1,398,427.84/1,929,978.57 = 854,881.84/x
  3. Step 3: Cross multiply
    1,398,427.84x = 1,929,978.57 × 854,881.84
  4. Step 4: Simplify right side
    1,398,427.84x = 1,649,903,631,082.17
  5. Step 5: Solve for x
    x = 1,649,903,631,082.17/1,398,427.84
  6. Step 6: Final answer
    x = 1,179,827.51

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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.