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Finding the Fourth Proportional to 277,020, 415,588.32 and 110,808

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Solution

The fourth proportional to 277,020, 415,588.32 and 110,808 is: 166,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,020 : 415,588.32 = 110,808 : x
  2. Step 2: Convert to fraction form
    277,020/415,588.32 = 110,808/x
  3. Step 3: Cross multiply
    277,020x = 415,588.32 × 110,808
  4. Step 4: Simplify right side
    277,020x = 46,050,510,562.56
  5. Step 5: Solve for x
    x = 46,050,510,562.56/277,020
  6. Step 6: Final answer
    x = 166,235.33

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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.