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Finding the Fourth Proportional to 292,029.80, 409,118.20 and 292,029.80

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Solution

The fourth proportional to 292,029.80, 409,118.20 and 292,029.80 is: 409,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,029.80 : 409,118.20 = 292,029.80 : x
  2. Step 2: Convert to fraction form
    292,029.80/409,118.20 = 292,029.80/x
  3. Step 3: Cross multiply
    292,029.80x = 409,118.20 × 292,029.80
  4. Step 4: Simplify right side
    292,029.80x = 119,474,706,122.36
  5. Step 5: Solve for x
    x = 119,474,706,122.36/292,029.80
  6. Step 6: Final answer
    x = 409,118.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.