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Finding the Fourth Proportional to 469,830.94, 648,367.16 and 254,971.06

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Solution

The fourth proportional to 469,830.94, 648,367.16 and 254,971.06 is: 351,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,830.94 : 648,367.16 = 254,971.06 : x
  2. Step 2: Convert to fraction form
    469,830.94/648,367.16 = 254,971.06/x
  3. Step 3: Cross multiply
    469,830.94x = 648,367.16 × 254,971.06
  4. Step 4: Simplify right side
    469,830.94x = 165,314,859,158.62
  5. Step 5: Solve for x
    x = 165,314,859,158.62/469,830.94
  6. Step 6: Final answer
    x = 351,860.31

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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.