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Finding the Fourth Proportional to 429,937.80, 644,906.70 and 330,599.40

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Solution

The fourth proportional to 429,937.80, 644,906.70 and 330,599.40 is: 495,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,937.80 : 644,906.70 = 330,599.40 : x
  2. Step 2: Convert to fraction form
    429,937.80/644,906.70 = 330,599.40/x
  3. Step 3: Cross multiply
    429,937.80x = 644,906.70 × 330,599.40
  4. Step 4: Simplify right side
    429,937.80x = 213,205,768,075.98
  5. Step 5: Solve for x
    x = 213,205,768,075.98/429,937.80
  6. Step 6: Final answer
    x = 495,899.10

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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.