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Finding the Fourth Proportional to 421,725.42, 581,975.91 and 230,736.06

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Solution

The fourth proportional to 421,725.42, 581,975.91 and 230,736.06 is: 318,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,725.42 : 581,975.91 = 230,736.06 : x
  2. Step 2: Convert to fraction form
    421,725.42/581,975.91 = 230,736.06/x
  3. Step 3: Cross multiply
    421,725.42x = 581,975.91 × 230,736.06
  4. Step 4: Simplify right side
    421,725.42x = 134,282,828,488.32
  5. Step 5: Solve for x
    x = 134,282,828,488.32/421,725.42
  6. Step 6: Final answer
    x = 318,412.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.