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Finding the Fourth Proportional to 477,670.10, 659,194.94 and 262,810.78

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Solution

The fourth proportional to 477,670.10, 659,194.94 and 262,810.78 is: 362,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,670.10 : 659,194.94 = 262,810.78 : x
  2. Step 2: Convert to fraction form
    477,670.10/659,194.94 = 262,810.78/x
  3. Step 3: Cross multiply
    477,670.10x = 659,194.94 × 262,810.78
  4. Step 4: Simplify right side
    477,670.10x = 173,243,535,362.49
  5. Step 5: Solve for x
    x = 173,243,535,362.49/477,670.10
  6. Step 6: Final answer
    x = 362,684.49

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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.