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Finding the Fourth Proportional to 367,810.40, 507,523.92 and 212,756.96

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Solution

The fourth proportional to 367,810.40, 507,523.92 and 212,756.96 is: 293,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,810.40 : 507,523.92 = 212,756.96 : x
  2. Step 2: Convert to fraction form
    367,810.40/507,523.92 = 212,756.96/x
  3. Step 3: Cross multiply
    367,810.40x = 507,523.92 × 212,756.96
  4. Step 4: Simplify right side
    367,810.40x = 107,979,246,346.48
  5. Step 5: Solve for x
    x = 107,979,246,346.48/367,810.40
  6. Step 6: Final answer
    x = 293,573.12

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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.