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Finding the Fourth Proportional to 294,648.81, 406,604.56 and 180,119.26

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Solution

The fourth proportional to 294,648.81, 406,604.56 and 180,119.26 is: 248,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,648.81 : 406,604.56 = 180,119.26 : x
  2. Step 2: Convert to fraction form
    294,648.81/406,604.56 = 180,119.26/x
  3. Step 3: Cross multiply
    294,648.81x = 406,604.56 × 180,119.26
  4. Step 4: Simplify right side
    294,648.81x = 73,237,312,459.83
  5. Step 5: Solve for x
    x = 73,237,312,459.83/294,648.81
  6. Step 6: Final answer
    x = 248,557.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.