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Finding the Fourth Proportional to 472,477.56, 652,093.80 and 281,601.66

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Solution

The fourth proportional to 472,477.56, 652,093.80 and 281,601.66 is: 388,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,477.56 : 652,093.80 = 281,601.66 : x
  2. Step 2: Convert to fraction form
    472,477.56/652,093.80 = 281,601.66/x
  3. Step 3: Cross multiply
    472,477.56x = 652,093.80 × 281,601.66
  4. Step 4: Simplify right side
    472,477.56x = 183,630,696,555.71
  5. Step 5: Solve for x
    x = 183,630,696,555.71/472,477.56
  6. Step 6: Final answer
    x = 388,654.85

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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.