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Finding the Fourth Proportional to 456,281.83, 629,692.55 and 262,718.29

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Solution

The fourth proportional to 456,281.83, 629,692.55 and 262,718.29 is: 362,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,281.83 : 629,692.55 = 262,718.29 : x
  2. Step 2: Convert to fraction form
    456,281.83/629,692.55 = 262,718.29/x
  3. Step 3: Cross multiply
    456,281.83x = 629,692.55 × 262,718.29
  4. Step 4: Simplify right side
    456,281.83x = 165,431,749,961.74
  5. Step 5: Solve for x
    x = 165,431,749,961.74/456,281.83
  6. Step 6: Final answer
    x = 362,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.