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Finding the Fourth Proportional to 472,783.20, 652,525.44 and 281,808.96

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Solution

The fourth proportional to 472,783.20, 652,525.44 and 281,808.96 is: 388,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,783.20 : 652,525.44 = 281,808.96 : x
  2. Step 2: Convert to fraction form
    472,783.20/652,525.44 = 281,808.96/x
  3. Step 3: Cross multiply
    472,783.20x = 652,525.44 × 281,808.96
  4. Step 4: Simplify right side
    472,783.20x = 183,887,515,619.94
  5. Step 5: Solve for x
    x = 183,887,515,619.94/472,783.20
  6. Step 6: Final answer
    x = 388,946.81

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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.