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Finding the Fourth Proportional to 402,425.34, 554,792.07 and 321,029.86

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Solution

The fourth proportional to 402,425.34, 554,792.07 and 321,029.86 is: 442,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,425.34 : 554,792.07 = 321,029.86 : x
  2. Step 2: Convert to fraction form
    402,425.34/554,792.07 = 321,029.86/x
  3. Step 3: Cross multiply
    402,425.34x = 554,792.07 × 321,029.86
  4. Step 4: Simplify right side
    402,425.34x = 178,104,820,538.16
  5. Step 5: Solve for x
    x = 178,104,820,538.16/402,425.34
  6. Step 6: Final answer
    x = 442,578.54

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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.