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Finding the Fourth Proportional to 826,978.56, 1,141,353.84 and 504,875.39

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Solution

The fourth proportional to 826,978.56, 1,141,353.84 and 504,875.39 is: 696,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,978.56 : 1,141,353.84 = 504,875.39 : x
  2. Step 2: Convert to fraction form
    826,978.56/1,141,353.84 = 504,875.39/x
  3. Step 3: Cross multiply
    826,978.56x = 1,141,353.84 × 504,875.39
  4. Step 4: Simplify right side
    826,978.56x = 576,241,459,391.23
  5. Step 5: Solve for x
    x = 576,241,459,391.23/826,978.56
  6. Step 6: Final answer
    x = 696,803.38

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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.