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Finding the Fourth Proportional to 523,495.08, 785,325.24 and 223,977.60

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Solution

The fourth proportional to 523,495.08, 785,325.24 and 223,977.60 is: 336,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,495.08 : 785,325.24 = 223,977.60 : x
  2. Step 2: Convert to fraction form
    523,495.08/785,325.24 = 223,977.60/x
  3. Step 3: Cross multiply
    523,495.08x = 785,325.24 × 223,977.60
  4. Step 4: Simplify right side
    523,495.08x = 175,895,262,474.62
  5. Step 5: Solve for x
    x = 175,895,262,474.62/523,495.08
  6. Step 6: Final answer
    x = 336,001.75

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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.