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Finding the Fourth Proportional to 372,923.62, 514,638.13 and 211,782.02

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Solution

The fourth proportional to 372,923.62, 514,638.13 and 211,782.02 is: 292,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,923.62 : 514,638.13 = 211,782.02 : x
  2. Step 2: Convert to fraction form
    372,923.62/514,638.13 = 211,782.02/x
  3. Step 3: Cross multiply
    372,923.62x = 514,638.13 × 211,782.02
  4. Step 4: Simplify right side
    372,923.62x = 108,991,102,740.42
  5. Step 5: Solve for x
    x = 108,991,102,740.42/372,923.62
  6. Step 6: Final answer
    x = 292,261.19

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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.