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Finding the Fourth Proportional to 561,431.09, 841,839.08 and 276,495.06

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Solution

The fourth proportional to 561,431.09, 841,839.08 and 276,495.06 is: 414,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,431.09 : 841,839.08 = 276,495.06 : x
  2. Step 2: Convert to fraction form
    561,431.09/841,839.08 = 276,495.06/x
  3. Step 3: Cross multiply
    561,431.09x = 841,839.08 × 276,495.06
  4. Step 4: Simplify right side
    561,431.09x = 232,764,348,144.61
  5. Step 5: Solve for x
    x = 232,764,348,144.61/561,431.09
  6. Step 6: Final answer
    x = 414,591.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.