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Finding the Fourth Proportional to 474,573.48, 654,911.40 and 259,713.60

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Solution

The fourth proportional to 474,573.48, 654,911.40 and 259,713.60 is: 358,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,573.48 : 654,911.40 = 259,713.60 : x
  2. Step 2: Convert to fraction form
    474,573.48/654,911.40 = 259,713.60/x
  3. Step 3: Cross multiply
    474,573.48x = 654,911.40 × 259,713.60
  4. Step 4: Simplify right side
    474,573.48x = 170,089,397,375.04
  5. Step 5: Solve for x
    x = 170,089,397,375.04/474,573.48
  6. Step 6: Final answer
    x = 358,404.77

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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.