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Finding the Fourth Proportional to 529,530.74, 730,858.76 and 314,629.50

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Solution

The fourth proportional to 529,530.74, 730,858.76 and 314,629.50 is: 434,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,530.74 : 730,858.76 = 314,629.50 : x
  2. Step 2: Convert to fraction form
    529,530.74/730,858.76 = 314,629.50/x
  3. Step 3: Cross multiply
    529,530.74x = 730,858.76 × 314,629.50
  4. Step 4: Simplify right side
    529,530.74x = 229,949,726,229.42
  5. Step 5: Solve for x
    x = 229,949,726,229.42/529,530.74
  6. Step 6: Final answer
    x = 434,251.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.