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Finding the Fourth Proportional to 277,521.29, 416,409.05 and 150,971.88

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Solution

The fourth proportional to 277,521.29, 416,409.05 and 150,971.88 is: 226,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.29 : 416,409.05 = 150,971.88 : x
  2. Step 2: Convert to fraction form
    277,521.29/416,409.05 = 150,971.88/x
  3. Step 3: Cross multiply
    277,521.29x = 416,409.05 × 150,971.88
  4. Step 4: Simplify right side
    277,521.29x = 62,866,059,066.48
  5. Step 5: Solve for x
    x = 62,866,059,066.48/277,521.29
  6. Step 6: Final answer
    x = 226,526.98

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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.