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Finding the Fourth Proportional to 472,901.72, 652,433.85 and 364,039.34

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Solution

The fourth proportional to 472,901.72, 652,433.85 and 364,039.34 is: 502,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,901.72 : 652,433.85 = 364,039.34 : x
  2. Step 2: Convert to fraction form
    472,901.72/652,433.85 = 364,039.34/x
  3. Step 3: Cross multiply
    472,901.72x = 652,433.85 × 364,039.34
  4. Step 4: Simplify right side
    472,901.72x = 237,511,584,885.49
  5. Step 5: Solve for x
    x = 237,511,584,885.49/472,901.72
  6. Step 6: Final answer
    x = 502,243.02

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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.