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Finding the Fourth Proportional to 424,297.96, 585,511.14 and 233,319.40

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Solution

The fourth proportional to 424,297.96, 585,511.14 and 233,319.40 is: 321,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,297.96 : 585,511.14 = 233,319.40 : x
  2. Step 2: Convert to fraction form
    424,297.96/585,511.14 = 233,319.40/x
  3. Step 3: Cross multiply
    424,297.96x = 585,511.14 × 233,319.40
  4. Step 4: Simplify right side
    424,297.96x = 136,611,107,878.12
  5. Step 5: Solve for x
    x = 136,611,107,878.12/424,297.96
  6. Step 6: Final answer
    x = 321,969.75

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1.5x scale

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.