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Finding the Fourth Proportional to 459,858.21, 694,106.51 and 459,858.21

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Solution

The fourth proportional to 459,858.21, 694,106.51 and 459,858.21 is: 694,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,858.21 : 694,106.51 = 459,858.21 : x
  2. Step 2: Convert to fraction form
    459,858.21/694,106.51 = 459,858.21/x
  3. Step 3: Cross multiply
    459,858.21x = 694,106.51 × 459,858.21
  4. Step 4: Simplify right side
    459,858.21x = 319,190,577,237.95
  5. Step 5: Solve for x
    x = 319,190,577,237.95/459,858.21
  6. Step 6: Final answer
    x = 694,106.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.