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Finding the Fourth Proportional to 696,930.64, 962,057.86 and 470,882.32

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Solution

The fourth proportional to 696,930.64, 962,057.86 and 470,882.32 is: 650,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,930.64 : 962,057.86 = 470,882.32 : x
  2. Step 2: Convert to fraction form
    696,930.64/962,057.86 = 470,882.32/x
  3. Step 3: Cross multiply
    696,930.64x = 962,057.86 × 470,882.32
  4. Step 4: Simplify right side
    696,930.64x = 453,016,037,091.04
  5. Step 5: Solve for x
    x = 453,016,037,091.04/696,930.64
  6. Step 6: Final answer
    x = 650,015.96

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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.