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Finding the Fourth Proportional to 424,302.64, 585,392 and 263,099.68

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Solution

The fourth proportional to 424,302.64, 585,392 and 263,099.68 is: 362,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,302.64 : 585,392 = 263,099.68 : x
  2. Step 2: Convert to fraction form
    424,302.64/585,392 = 263,099.68/x
  3. Step 3: Cross multiply
    424,302.64x = 585,392 × 263,099.68
  4. Step 4: Simplify right side
    424,302.64x = 154,016,447,874.56
  5. Step 5: Solve for x
    x = 154,016,447,874.56/424,302.64
  6. Step 6: Final answer
    x = 362,987.25

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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.