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Finding the Fourth Proportional to 841,878.78, 1,161,809.82 and 459,930.24

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Solution

The fourth proportional to 841,878.78, 1,161,809.82 and 459,930.24 is: 634,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,878.78 : 1,161,809.82 = 459,930.24 : x
  2. Step 2: Convert to fraction form
    841,878.78/1,161,809.82 = 459,930.24/x
  3. Step 3: Cross multiply
    841,878.78x = 1,161,809.82 × 459,930.24
  4. Step 4: Simplify right side
    841,878.78x = 534,351,469,346.96
  5. Step 5: Solve for x
    x = 534,351,469,346.96/841,878.78
  6. Step 6: Final answer
    x = 634,713.08

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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.