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Finding the Fourth Proportional to 689,698.31, 951,915.39 and 456,714.60

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Solution

The fourth proportional to 689,698.31, 951,915.39 and 456,714.60 is: 630,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,698.31 : 951,915.39 = 456,714.60 : x
  2. Step 2: Convert to fraction form
    689,698.31/951,915.39 = 456,714.60/x
  3. Step 3: Cross multiply
    689,698.31x = 951,915.39 × 456,714.60
  4. Step 4: Simplify right side
    689,698.31x = 434,753,651,295.33
  5. Step 5: Solve for x
    x = 434,753,651,295.33/689,698.31
  6. Step 6: Final answer
    x = 630,353.37

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Double scale
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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.