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Finding the Fourth Proportional to 367,662.55, 507,295.61 and 214,631.28

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Solution

The fourth proportional to 367,662.55, 507,295.61 and 214,631.28 is: 296,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,662.55 : 507,295.61 = 214,631.28 : x
  2. Step 2: Convert to fraction form
    367,662.55/507,295.61 = 214,631.28/x
  3. Step 3: Cross multiply
    367,662.55x = 507,295.61 × 214,631.28
  4. Step 4: Simplify right side
    367,662.55x = 108,881,506,112.68
  5. Step 5: Solve for x
    x = 108,881,506,112.68/367,662.55
  6. Step 6: Final answer
    x = 296,145.22

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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.