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Finding the Fourth Proportional to 464,727.04, 696,201.85 and 314,228.64

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Solution

The fourth proportional to 464,727.04, 696,201.85 and 314,228.64 is: 470,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,727.04 : 696,201.85 = 314,228.64 : x
  2. Step 2: Convert to fraction form
    464,727.04/696,201.85 = 314,228.64/x
  3. Step 3: Cross multiply
    464,727.04x = 696,201.85 × 314,228.64
  4. Step 4: Simplify right side
    464,727.04x = 218,766,560,490.98
  5. Step 5: Solve for x
    x = 218,766,560,490.98/464,727.04
  6. Step 6: Final answer
    x = 470,742.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.