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Finding the Fourth Proportional to 512,888.87, 707,884.43 and 338,152.25

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Solution

The fourth proportional to 512,888.87, 707,884.43 and 338,152.25 is: 466,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,888.87 : 707,884.43 = 338,152.25 : x
  2. Step 2: Convert to fraction form
    512,888.87/707,884.43 = 338,152.25/x
  3. Step 3: Cross multiply
    512,888.87x = 707,884.43 × 338,152.25
  4. Step 4: Simplify right side
    512,888.87x = 239,372,712,823.42
  5. Step 5: Solve for x
    x = 239,372,712,823.42/512,888.87
  6. Step 6: Final answer
    x = 466,714.58

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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.