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Finding the Fourth Proportional to 523,493.08, 785,322.24 and 223,975.60

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Solution

The fourth proportional to 523,493.08, 785,322.24 and 223,975.60 is: 335,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,493.08 : 785,322.24 = 223,975.60 : x
  2. Step 2: Convert to fraction form
    523,493.08/785,322.24 = 223,975.60/x
  3. Step 3: Cross multiply
    523,493.08x = 785,322.24 × 223,975.60
  4. Step 4: Simplify right side
    523,493.08x = 175,893,019,897.34
  5. Step 5: Solve for x
    x = 175,893,019,897.34/523,493.08
  6. Step 6: Final answer
    x = 335,998.75

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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.