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Finding the Fourth Proportional to 613,766.67, 920,059.51 and 314,388.24

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Solution

The fourth proportional to 613,766.67, 920,059.51 and 314,388.24 is: 471,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,766.67 : 920,059.51 = 314,388.24 : x
  2. Step 2: Convert to fraction form
    613,766.67/920,059.51 = 314,388.24/x
  3. Step 3: Cross multiply
    613,766.67x = 920,059.51 × 314,388.24
  4. Step 4: Simplify right side
    613,766.67x = 289,255,886,397.45
  5. Step 5: Solve for x
    x = 289,255,886,397.45/613,766.67
  6. Step 6: Final answer
    x = 471,279.89

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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.