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Finding the Fourth Proportional to 474,504.90, 654,831.46 and 259,654.02

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Solution

The fourth proportional to 474,504.90, 654,831.46 and 259,654.02 is: 358,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,504.90 : 654,831.46 = 259,654.02 : x
  2. Step 2: Convert to fraction form
    474,504.90/654,831.46 = 259,654.02/x
  3. Step 3: Cross multiply
    474,504.90x = 654,831.46 × 259,654.02
  4. Step 4: Simplify right side
    474,504.90x = 170,029,621,011.47
  5. Step 5: Solve for x
    x = 170,029,621,011.47/474,504.90
  6. Step 6: Final answer
    x = 358,330.59

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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.