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Finding the Fourth Proportional to 407,230.51, 610,864.97 and 336,021.07

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Solution

The fourth proportional to 407,230.51, 610,864.97 and 336,021.07 is: 504,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,230.51 : 610,864.97 = 336,021.07 : x
  2. Step 2: Convert to fraction form
    407,230.51/610,864.97 = 336,021.07/x
  3. Step 3: Cross multiply
    407,230.51x = 610,864.97 × 336,021.07
  4. Step 4: Simplify right side
    407,230.51x = 205,263,499,164.81
  5. Step 5: Solve for x
    x = 205,263,499,164.81/407,230.51
  6. Step 6: Final answer
    x = 504,047.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.