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Finding the Fourth Proportional to 472,245.40, 651,712.87 and 257,399.38

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Solution

The fourth proportional to 472,245.40, 651,712.87 and 257,399.38 is: 355,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,245.40 : 651,712.87 = 257,399.38 : x
  2. Step 2: Convert to fraction form
    472,245.40/651,712.87 = 257,399.38/x
  3. Step 3: Cross multiply
    472,245.40x = 651,712.87 × 257,399.38
  4. Step 4: Simplify right side
    472,245.40x = 167,750,488,676.02
  5. Step 5: Solve for x
    x = 167,750,488,676.02/472,245.40
  6. Step 6: Final answer
    x = 355,218.89

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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.