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Finding the Fourth Proportional to 477,306.75, 658,666.46 and 262,445.31

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Solution

The fourth proportional to 477,306.75, 658,666.46 and 262,445.31 is: 362,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,306.75 : 658,666.46 = 262,445.31 : x
  2. Step 2: Convert to fraction form
    477,306.75/658,666.46 = 262,445.31/x
  3. Step 3: Cross multiply
    477,306.75x = 658,666.46 × 262,445.31
  4. Step 4: Simplify right side
    477,306.75x = 172,863,921,969.08
  5. Step 5: Solve for x
    x = 172,863,921,969.08/477,306.75
  6. Step 6: Final answer
    x = 362,165.26

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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.