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Finding the Fourth Proportional to 294,775.10, 406,674.16 and 181,401.02

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Solution

The fourth proportional to 294,775.10, 406,674.16 and 181,401.02 is: 250,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,775.10 : 406,674.16 = 181,401.02 : x
  2. Step 2: Convert to fraction form
    294,775.10/406,674.16 = 181,401.02/x
  3. Step 3: Cross multiply
    294,775.10x = 406,674.16 × 181,401.02
  4. Step 4: Simplify right side
    294,775.10x = 73,771,104,944.77
  5. Step 5: Solve for x
    x = 73,771,104,944.77/294,775.10
  6. Step 6: Final answer
    x = 250,262.34

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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.