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Finding the Fourth Proportional to 469,821.63, 648,358.61 and 254,963.55

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Solution

The fourth proportional to 469,821.63, 648,358.61 and 254,963.55 is: 351,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,821.63 : 648,358.61 = 254,963.55 : x
  2. Step 2: Convert to fraction form
    469,821.63/648,358.61 = 254,963.55/x
  3. Step 3: Cross multiply
    469,821.63x = 648,358.61 × 254,963.55
  4. Step 4: Simplify right side
    469,821.63x = 165,307,811,603.85
  5. Step 5: Solve for x
    x = 165,307,811,603.85/469,821.63
  6. Step 6: Final answer
    x = 351,852.28

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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.