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Finding the Fourth Proportional to 292,043.40, 409,690.20 and 292,043.40

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Solution

The fourth proportional to 292,043.40, 409,690.20 and 292,043.40 is: 409,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,043.40 : 409,690.20 = 292,043.40 : x
  2. Step 2: Convert to fraction form
    292,043.40/409,690.20 = 292,043.40/x
  3. Step 3: Cross multiply
    292,043.40x = 409,690.20 × 292,043.40
  4. Step 4: Simplify right side
    292,043.40x = 119,647,318,954.68
  5. Step 5: Solve for x
    x = 119,647,318,954.68/292,043.40
  6. Step 6: Final answer
    x = 409,690.20

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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.