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Finding the Fourth Proportional to 512,599.26, 707,372.52 and 283,152.24

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Solution

The fourth proportional to 512,599.26, 707,372.52 and 283,152.24 is: 390,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,599.26 : 707,372.52 = 283,152.24 : x
  2. Step 2: Convert to fraction form
    512,599.26/707,372.52 = 283,152.24/x
  3. Step 3: Cross multiply
    512,599.26x = 707,372.52 × 283,152.24
  4. Step 4: Simplify right side
    512,599.26x = 200,294,113,552.45
  5. Step 5: Solve for x
    x = 200,294,113,552.45/512,599.26
  6. Step 6: Final answer
    x = 390,742.10

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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.