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Finding the Fourth Proportional to 277,506.41, 416,004.47 and 99,970.01

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Solution

The fourth proportional to 277,506.41, 416,004.47 and 99,970.01 is: 149,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.41 : 416,004.47 = 99,970.01 : x
  2. Step 2: Convert to fraction form
    277,506.41/416,004.47 = 99,970.01/x
  3. Step 3: Cross multiply
    277,506.41x = 416,004.47 × 99,970.01
  4. Step 4: Simplify right side
    277,506.41x = 41,587,968,446.07
  5. Step 5: Solve for x
    x = 41,587,968,446.07/277,506.41
  6. Step 6: Final answer
    x = 149,863.09

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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.