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Finding the Fourth Proportional to 421,260.06, 581,164.83 and 294,010.14

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Solution

The fourth proportional to 421,260.06, 581,164.83 and 294,010.14 is: 405,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,260.06 : 581,164.83 = 294,010.14 : x
  2. Step 2: Convert to fraction form
    421,260.06/581,164.83 = 294,010.14/x
  3. Step 3: Cross multiply
    421,260.06x = 581,164.83 × 294,010.14
  4. Step 4: Simplify right side
    421,260.06x = 170,868,353,031.38
  5. Step 5: Solve for x
    x = 170,868,353,031.38/421,260.06
  6. Step 6: Final answer
    x = 405,612.52

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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.