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Finding the Fourth Proportional to 1,411,955.28, 1,948,781.70 and 838,885.14

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Solution

The fourth proportional to 1,411,955.28, 1,948,781.70 and 838,885.14 is: 1,157,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,955.28 : 1,948,781.70 = 838,885.14 : x
  2. Step 2: Convert to fraction form
    1,411,955.28/1,948,781.70 = 838,885.14/x
  3. Step 3: Cross multiply
    1,411,955.28x = 1,948,781.70 × 838,885.14
  4. Step 4: Simplify right side
    1,411,955.28x = 1,634,804,009,233.94
  5. Step 5: Solve for x
    x = 1,634,804,009,233.94/1,411,955.28
  6. Step 6: Final answer
    x = 1,157,829.88

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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.