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Finding the Fourth Proportional to 689,697.75, 951,914.61 and 456,714.03

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Solution

The fourth proportional to 689,697.75, 951,914.61 and 456,714.03 is: 630,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,697.75 : 951,914.61 = 456,714.03 : x
  2. Step 2: Convert to fraction form
    689,697.75/951,914.61 = 456,714.03/x
  3. Step 3: Cross multiply
    689,697.75x = 951,914.61 × 456,714.03
  4. Step 4: Simplify right side
    689,697.75x = 434,752,758,695.52
  5. Step 5: Solve for x
    x = 434,752,758,695.52/689,697.75
  6. Step 6: Final answer
    x = 630,352.58

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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.