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Finding the Fourth Proportional to 647,830.40, 971,745.60 and 204,598.40

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Solution

The fourth proportional to 647,830.40, 971,745.60 and 204,598.40 is: 306,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,830.40 : 971,745.60 = 204,598.40 : x
  2. Step 2: Convert to fraction form
    647,830.40/971,745.60 = 204,598.40/x
  3. Step 3: Cross multiply
    647,830.40x = 971,745.60 × 204,598.40
  4. Step 4: Simplify right side
    647,830.40x = 198,817,594,967.04
  5. Step 5: Solve for x
    x = 198,817,594,967.04/647,830.40
  6. Step 6: Final answer
    x = 306,897.60

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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.