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Finding the Fourth Proportional to 340,503.52, 510,584.40 and 198,394.72

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Solution

The fourth proportional to 340,503.52, 510,584.40 and 198,394.72 is: 297,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,503.52 : 510,584.40 = 198,394.72 : x
  2. Step 2: Convert to fraction form
    340,503.52/510,584.40 = 198,394.72/x
  3. Step 3: Cross multiply
    340,503.52x = 510,584.40 × 198,394.72
  4. Step 4: Simplify right side
    340,503.52x = 101,297,249,074.37
  5. Step 5: Solve for x
    x = 101,297,249,074.37/340,503.52
  6. Step 6: Final answer
    x = 297,492.52

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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.