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Finding the Fourth Proportional to 523,978.24, 785,309.72 and 224,106.26

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Solution

The fourth proportional to 523,978.24, 785,309.72 and 224,106.26 is: 335,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,978.24 : 785,309.72 = 224,106.26 : x
  2. Step 2: Convert to fraction form
    523,978.24/785,309.72 = 224,106.26/x
  3. Step 3: Cross multiply
    523,978.24x = 785,309.72 × 224,106.26
  4. Step 4: Simplify right side
    523,978.24x = 175,992,824,290.85
  5. Step 5: Solve for x
    x = 175,992,824,290.85/523,978.24
  6. Step 6: Final answer
    x = 335,878.12

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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.