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Finding the Fourth Proportional to 701,429.32, 968,294.58 and 411,000.52

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Solution

The fourth proportional to 701,429.32, 968,294.58 and 411,000.52 is: 567,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,429.32 : 968,294.58 = 411,000.52 : x
  2. Step 2: Convert to fraction form
    701,429.32/968,294.58 = 411,000.52/x
  3. Step 3: Cross multiply
    701,429.32x = 968,294.58 × 411,000.52
  4. Step 4: Simplify right side
    701,429.32x = 397,969,575,893.18
  5. Step 5: Solve for x
    x = 397,969,575,893.18/701,429.32
  6. Step 6: Final answer
    x = 567,369.46

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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.