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Finding the Fourth Proportional to 415,975.07, 574,045.71 and 234,725.42

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Solution

The fourth proportional to 415,975.07, 574,045.71 and 234,725.42 is: 323,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,975.07 : 574,045.71 = 234,725.42 : x
  2. Step 2: Convert to fraction form
    415,975.07/574,045.71 = 234,725.42/x
  3. Step 3: Cross multiply
    415,975.07x = 574,045.71 × 234,725.42
  4. Step 4: Simplify right side
    415,975.07x = 134,743,120,378.95
  5. Step 5: Solve for x
    x = 134,743,120,378.95/415,975.07
  6. Step 6: Final answer
    x = 323,921.14

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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.