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Finding the Fourth Proportional to 432,397.26, 596,668.95 and 241,375.50

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Solution

The fourth proportional to 432,397.26, 596,668.95 and 241,375.50 is: 333,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,397.26 : 596,668.95 = 241,375.50 : x
  2. Step 2: Convert to fraction form
    432,397.26/596,668.95 = 241,375.50/x
  3. Step 3: Cross multiply
    432,397.26x = 596,668.95 × 241,375.50
  4. Step 4: Simplify right side
    432,397.26x = 144,021,266,140.73
  5. Step 5: Solve for x
    x = 144,021,266,140.73/432,397.26
  6. Step 6: Final answer
    x = 333,076.27

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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.