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Finding the Fourth Proportional to 477,406.49, 658,807.80 and 262,546.55

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Solution

The fourth proportional to 477,406.49, 658,807.80 and 262,546.55 is: 362,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,406.49 : 658,807.80 = 262,546.55 : x
  2. Step 2: Convert to fraction form
    477,406.49/658,807.80 = 262,546.55/x
  3. Step 3: Cross multiply
    477,406.49x = 658,807.80 × 262,546.55
  4. Step 4: Simplify right side
    477,406.49x = 172,967,711,709.05
  5. Step 5: Solve for x
    x = 172,967,711,709.05/477,406.49
  6. Step 6: Final answer
    x = 362,307.00

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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.