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Finding the Fourth Proportional to 354,898.26, 531,904.37 and 177,456.01

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Solution

The fourth proportional to 354,898.26, 531,904.37 and 177,456.01 is: 265,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,898.26 : 531,904.37 = 177,456.01 : x
  2. Step 2: Convert to fraction form
    354,898.26/531,904.37 = 177,456.01/x
  3. Step 3: Cross multiply
    354,898.26x = 531,904.37 × 177,456.01
  4. Step 4: Simplify right side
    354,898.26x = 94,389,627,201.76
  5. Step 5: Solve for x
    x = 94,389,627,201.76/354,898.26
  6. Step 6: Final answer
    x = 265,962.50

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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.