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Finding the Fourth Proportional to 1,583,697, 2,375,941.60 and 461,766

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Solution

The fourth proportional to 1,583,697, 2,375,941.60 and 461,766 is: 692,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,697 : 2,375,941.60 = 461,766 : x
  2. Step 2: Convert to fraction form
    1,583,697/2,375,941.60 = 461,766/x
  3. Step 3: Cross multiply
    1,583,697x = 2,375,941.60 × 461,766
  4. Step 4: Simplify right side
    1,583,697x = 1,097,129,048,865.60
  5. Step 5: Solve for x
    x = 1,097,129,048,865.60/1,583,697
  6. Step 6: Final answer
    x = 692,764.49

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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.