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Finding the Fourth Proportional to 488,264.01, 731,698.12 and 274,583.41

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Solution

The fourth proportional to 488,264.01, 731,698.12 and 274,583.41 is: 411,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,264.01 : 731,698.12 = 274,583.41 : x
  2. Step 2: Convert to fraction form
    488,264.01/731,698.12 = 274,583.41/x
  3. Step 3: Cross multiply
    488,264.01x = 731,698.12 × 274,583.41
  4. Step 4: Simplify right side
    488,264.01x = 200,912,164,880.19
  5. Step 5: Solve for x
    x = 200,912,164,880.19/488,264.01
  6. Step 6: Final answer
    x = 411,482.64

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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.