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Finding the Fourth Proportional to 294,678.57, 406,705.35 and 173,849.56

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Solution

The fourth proportional to 294,678.57, 406,705.35 and 173,849.56 is: 239,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,678.57 : 406,705.35 = 173,849.56 : x
  2. Step 2: Convert to fraction form
    294,678.57/406,705.35 = 173,849.56/x
  3. Step 3: Cross multiply
    294,678.57x = 406,705.35 × 173,849.56
  4. Step 4: Simplify right side
    294,678.57x = 70,705,545,782.32
  5. Step 5: Solve for x
    x = 70,705,545,782.32/294,678.57
  6. Step 6: Final answer
    x = 239,941.25

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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.