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Finding the Fourth Proportional to 408,314.60, 563,535.46 and 293,971.72

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Solution

The fourth proportional to 408,314.60, 563,535.46 and 293,971.72 is: 405,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314.60 : 563,535.46 = 293,971.72 : x
  2. Step 2: Convert to fraction form
    408,314.60/563,535.46 = 293,971.72/x
  3. Step 3: Cross multiply
    408,314.60x = 563,535.46 × 293,971.72
  4. Step 4: Simplify right side
    408,314.60x = 165,663,488,457.19
  5. Step 5: Solve for x
    x = 165,663,488,457.19/408,314.60
  6. Step 6: Final answer
    x = 405,725.12

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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.