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Finding the Fourth Proportional to 467,033, 644,506.27 and 265,829

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Solution

The fourth proportional to 467,033, 644,506.27 and 265,829 is: 366,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,033 : 644,506.27 = 265,829 : x
  2. Step 2: Convert to fraction form
    467,033/644,506.27 = 265,829/x
  3. Step 3: Cross multiply
    467,033x = 644,506.27 × 265,829
  4. Step 4: Simplify right side
    467,033x = 171,328,457,247.83
  5. Step 5: Solve for x
    x = 171,328,457,247.83/467,033
  6. Step 6: Final answer
    x = 366,844.44

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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.