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Finding the Fourth Proportional to 367,662.72, 507,295.85 and 214,631.46

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Solution

The fourth proportional to 367,662.72, 507,295.85 and 214,631.46 is: 296,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,662.72 : 507,295.85 = 214,631.46 : x
  2. Step 2: Convert to fraction form
    367,662.72/507,295.85 = 214,631.46/x
  3. Step 3: Cross multiply
    367,662.72x = 507,295.85 × 214,631.46
  4. Step 4: Simplify right side
    367,662.72x = 108,881,649,474.02
  5. Step 5: Solve for x
    x = 108,881,649,474.02/367,662.72
  6. Step 6: Final answer
    x = 296,145.47

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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.