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Finding the Fourth Proportional to 523,896.48, 785,187.09 and 224,024.31

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Solution

The fourth proportional to 523,896.48, 785,187.09 and 224,024.31 is: 335,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,896.48 : 785,187.09 = 224,024.31 : x
  2. Step 2: Convert to fraction form
    523,896.48/785,187.09 = 224,024.31/x
  3. Step 3: Cross multiply
    523,896.48x = 785,187.09 × 224,024.31
  4. Step 4: Simplify right side
    523,896.48x = 175,900,996,058.16
  5. Step 5: Solve for x
    x = 175,900,996,058.16/523,896.48
  6. Step 6: Final answer
    x = 335,755.25

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1.5x scale

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.