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Finding the Fourth Proportional to 367,692.52, 507,336.90 and 214,661.20

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Solution

The fourth proportional to 367,692.52, 507,336.90 and 214,661.20 is: 296,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,692.52 : 507,336.90 = 214,661.20 : x
  2. Step 2: Convert to fraction form
    367,692.52/507,336.90 = 214,661.20/x
  3. Step 3: Cross multiply
    367,692.52x = 507,336.90 × 214,661.20
  4. Step 4: Simplify right side
    367,692.52x = 108,905,547,758.28
  5. Step 5: Solve for x
    x = 108,905,547,758.28/367,692.52
  6. Step 6: Final answer
    x = 296,186.47

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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.