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Finding the Fourth Proportional to 461,271.60, 691,907.40 and 274,647.60

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Solution

The fourth proportional to 461,271.60, 691,907.40 and 274,647.60 is: 411,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,271.60 : 691,907.40 = 274,647.60 : x
  2. Step 2: Convert to fraction form
    461,271.60/691,907.40 = 274,647.60/x
  3. Step 3: Cross multiply
    461,271.60x = 691,907.40 × 274,647.60
  4. Step 4: Simplify right side
    461,271.60x = 190,030,706,832.24
  5. Step 5: Solve for x
    x = 190,030,706,832.24/461,271.60
  6. Step 6: Final answer
    x = 411,971.40

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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.