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Finding the Fourth Proportional to 474,564.30, 654,898.77 and 259,704.48

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Solution

The fourth proportional to 474,564.30, 654,898.77 and 259,704.48 is: 358,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,564.30 : 654,898.77 = 259,704.48 : x
  2. Step 2: Convert to fraction form
    474,564.30/654,898.77 = 259,704.48/x
  3. Step 3: Cross multiply
    474,564.30x = 654,898.77 × 259,704.48
  4. Step 4: Simplify right side
    474,564.30x = 170,080,144,515.49
  5. Step 5: Solve for x
    x = 170,080,144,515.49/474,564.30
  6. Step 6: Final answer
    x = 358,392.20

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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.