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Finding the Fourth Proportional to 460,830.90, 647,029.50 and 460,830.90

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Solution

The fourth proportional to 460,830.90, 647,029.50 and 460,830.90 is: 647,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,830.90 : 647,029.50 = 460,830.90 : x
  2. Step 2: Convert to fraction form
    460,830.90/647,029.50 = 460,830.90/x
  3. Step 3: Cross multiply
    460,830.90x = 647,029.50 × 460,830.90
  4. Step 4: Simplify right side
    460,830.90x = 298,171,186,811.55
  5. Step 5: Solve for x
    x = 298,171,186,811.55/460,830.90
  6. Step 6: Final answer
    x = 647,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.