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Finding the Fourth Proportional to 472,104.82, 651,504.72 and 257,244.94

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Solution

The fourth proportional to 472,104.82, 651,504.72 and 257,244.94 is: 354,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,104.82 : 651,504.72 = 257,244.94 : x
  2. Step 2: Convert to fraction form
    472,104.82/651,504.72 = 257,244.94/x
  3. Step 3: Cross multiply
    472,104.82x = 651,504.72 × 257,244.94
  4. Step 4: Simplify right side
    472,104.82x = 167,596,292,606.12
  5. Step 5: Solve for x
    x = 167,596,292,606.12/472,104.82
  6. Step 6: Final answer
    x = 354,998.05

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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.