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Finding the Fourth Proportional to 647,951.70, 971,927.55 and 411,464.10

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Solution

The fourth proportional to 647,951.70, 971,927.55 and 411,464.10 is: 617,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,951.70 : 971,927.55 = 411,464.10 : x
  2. Step 2: Convert to fraction form
    647,951.70/971,927.55 = 411,464.10/x
  3. Step 3: Cross multiply
    647,951.70x = 971,927.55 × 411,464.10
  4. Step 4: Simplify right side
    647,951.70x = 399,913,294,625.96
  5. Step 5: Solve for x
    x = 399,913,294,625.96/647,951.70
  6. Step 6: Final answer
    x = 617,196.15

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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.