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Finding the Fourth Proportional to 477,068.05, 715,602.08 and 177,540.85

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Solution

The fourth proportional to 477,068.05, 715,602.08 and 177,540.85 is: 266,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,068.05 : 715,602.08 = 177,540.85 : x
  2. Step 2: Convert to fraction form
    477,068.05/715,602.08 = 177,540.85/x
  3. Step 3: Cross multiply
    477,068.05x = 715,602.08 × 177,540.85
  4. Step 4: Simplify right side
    477,068.05x = 127,048,601,544.97
  5. Step 5: Solve for x
    x = 127,048,601,544.97/477,068.05
  6. Step 6: Final answer
    x = 266,311.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.