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Finding the Fourth Proportional to 401,283.94, 602,132.85 and 188,073.51

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Solution

The fourth proportional to 401,283.94, 602,132.85 and 188,073.51 is: 282,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,283.94 : 602,132.85 = 188,073.51 : x
  2. Step 2: Convert to fraction form
    401,283.94/602,132.85 = 188,073.51/x
  3. Step 3: Cross multiply
    401,283.94x = 602,132.85 × 188,073.51
  4. Step 4: Simplify right side
    401,283.94x = 113,245,238,762.12
  5. Step 5: Solve for x
    x = 113,245,238,762.12/401,283.94
  6. Step 6: Final answer
    x = 282,207.26

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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.