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Finding the Fourth Proportional to 653,318.64, 901,722.24 and 470,046.96

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Solution

The fourth proportional to 653,318.64, 901,722.24 and 470,046.96 is: 648,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,318.64 : 901,722.24 = 470,046.96 : x
  2. Step 2: Convert to fraction form
    653,318.64/901,722.24 = 470,046.96/x
  3. Step 3: Cross multiply
    653,318.64x = 901,722.24 × 470,046.96
  4. Step 4: Simplify right side
    653,318.64x = 423,851,797,676.39
  5. Step 5: Solve for x
    x = 423,851,797,676.39/653,318.64
  6. Step 6: Final answer
    x = 648,767.34

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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.