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Finding the Fourth Proportional to 405,797.60, 559,899.96 and 262,385.04

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Solution

The fourth proportional to 405,797.60, 559,899.96 and 262,385.04 is: 362,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,797.60 : 559,899.96 = 262,385.04 : x
  2. Step 2: Convert to fraction form
    405,797.60/559,899.96 = 262,385.04/x
  3. Step 3: Cross multiply
    405,797.60x = 559,899.96 × 262,385.04
  4. Step 4: Simplify right side
    405,797.60x = 146,909,373,400.60
  5. Step 5: Solve for x
    x = 146,909,373,400.60/405,797.60
  6. Step 6: Final answer
    x = 362,026.23

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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.