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Finding the Fourth Proportional to 523,980.68, 785,313.72 and 224,109.32

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Solution

The fourth proportional to 523,980.68, 785,313.72 and 224,109.32 is: 335,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,980.68 : 785,313.72 = 224,109.32 : x
  2. Step 2: Convert to fraction form
    523,980.68/785,313.72 = 224,109.32/x
  3. Step 3: Cross multiply
    523,980.68x = 785,313.72 × 224,109.32
  4. Step 4: Simplify right side
    523,980.68x = 175,996,123,775.87
  5. Step 5: Solve for x
    x = 175,996,123,775.87/523,980.68
  6. Step 6: Final answer
    x = 335,882.85

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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.