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Finding the Fourth Proportional to 601,467.52, 829,820.82 and 343,158.89

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Solution

The fourth proportional to 601,467.52, 829,820.82 and 343,158.89 is: 473,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,467.52 : 829,820.82 = 343,158.89 : x
  2. Step 2: Convert to fraction form
    601,467.52/829,820.82 = 343,158.89/x
  3. Step 3: Cross multiply
    601,467.52x = 829,820.82 × 343,158.89
  4. Step 4: Simplify right side
    601,467.52x = 284,760,393,564.64
  5. Step 5: Solve for x
    x = 284,760,393,564.64/601,467.52
  6. Step 6: Final answer
    x = 473,442.68

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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.