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Finding the Fourth Proportional to 337,514.40, 506,271.60 and 219,319.20

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Solution

The fourth proportional to 337,514.40, 506,271.60 and 219,319.20 is: 328,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,514.40 : 506,271.60 = 219,319.20 : x
  2. Step 2: Convert to fraction form
    337,514.40/506,271.60 = 219,319.20/x
  3. Step 3: Cross multiply
    337,514.40x = 506,271.60 × 219,319.20
  4. Step 4: Simplify right side
    337,514.40x = 111,035,082,294.72
  5. Step 5: Solve for x
    x = 111,035,082,294.72/337,514.40
  6. Step 6: Final answer
    x = 328,978.80

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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.