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Finding the Fourth Proportional to 401,550.64, 602,106.04 and 185,174.56

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Solution

The fourth proportional to 401,550.64, 602,106.04 and 185,174.56 is: 277,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,550.64 : 602,106.04 = 185,174.56 : x
  2. Step 2: Convert to fraction form
    401,550.64/602,106.04 = 185,174.56/x
  3. Step 3: Cross multiply
    401,550.64x = 602,106.04 × 185,174.56
  4. Step 4: Simplify right side
    401,550.64x = 111,494,721,030.34
  5. Step 5: Solve for x
    x = 111,494,721,030.34/401,550.64
  6. Step 6: Final answer
    x = 277,660.42

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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.