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Finding the Fourth Proportional to 477,507.25, 658,946.10 and 262,647.26

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Solution

The fourth proportional to 477,507.25, 658,946.10 and 262,647.26 is: 362,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,507.25 : 658,946.10 = 262,647.26 : x
  2. Step 2: Convert to fraction form
    477,507.25/658,946.10 = 262,647.26/x
  3. Step 3: Cross multiply
    477,507.25x = 658,946.10 × 262,647.26
  4. Step 4: Simplify right side
    477,507.25x = 173,070,387,813.93
  5. Step 5: Solve for x
    x = 173,070,387,813.93/477,507.25
  6. Step 6: Final answer
    x = 362,445.57

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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.