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Finding the Fourth Proportional to 421,269.06, 581,177.24 and 294,019.14

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Solution

The fourth proportional to 421,269.06, 581,177.24 and 294,019.14 is: 405,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,269.06 : 581,177.24 = 294,019.14 : x
  2. Step 2: Convert to fraction form
    421,269.06/581,177.24 = 294,019.14/x
  3. Step 3: Cross multiply
    421,269.06x = 581,177.24 × 294,019.14
  4. Step 4: Simplify right side
    421,269.06x = 170,877,232,292.37
  5. Step 5: Solve for x
    x = 170,877,232,292.37/421,269.06
  6. Step 6: Final answer
    x = 405,624.93

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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.