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Finding the Fourth Proportional to 472,962.54, 652,709.60 and 266,302.11

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Solution

The fourth proportional to 472,962.54, 652,709.60 and 266,302.11 is: 367,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,962.54 : 652,709.60 = 266,302.11 : x
  2. Step 2: Convert to fraction form
    472,962.54/652,709.60 = 266,302.11/x
  3. Step 3: Cross multiply
    472,962.54x = 652,709.60 × 266,302.11
  4. Step 4: Simplify right side
    472,962.54x = 173,817,942,365.75
  5. Step 5: Solve for x
    x = 173,817,942,365.75/472,962.54
  6. Step 6: Final answer
    x = 367,508.90

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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.