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Finding the Fourth Proportional to 343,086.48, 472,868.24 and 228,159.72

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Solution

The fourth proportional to 343,086.48, 472,868.24 and 228,159.72 is: 314,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,086.48 : 472,868.24 = 228,159.72 : x
  2. Step 2: Convert to fraction form
    343,086.48/472,868.24 = 228,159.72/x
  3. Step 3: Cross multiply
    343,086.48x = 472,868.24 × 228,159.72
  4. Step 4: Simplify right side
    343,086.48x = 107,889,484,094.49
  5. Step 5: Solve for x
    x = 107,889,484,094.49/343,086.48
  6. Step 6: Final answer
    x = 314,467.31

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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.