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Finding the Fourth Proportional to 523,496.08, 785,326.74 and 223,978.60

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Solution

The fourth proportional to 523,496.08, 785,326.74 and 223,978.60 is: 336,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,496.08 : 785,326.74 = 223,978.60 : x
  2. Step 2: Convert to fraction form
    523,496.08/785,326.74 = 223,978.60/x
  3. Step 3: Cross multiply
    523,496.08x = 785,326.74 × 223,978.60
  4. Step 4: Simplify right side
    523,496.08x = 175,896,383,767.76
  5. Step 5: Solve for x
    x = 175,896,383,767.76/523,496.08
  6. Step 6: Final answer
    x = 336,003.25

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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.