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Finding the Fourth Proportional to 701,754.74, 968,431.50 and 429,723.38

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Solution

The fourth proportional to 701,754.74, 968,431.50 and 429,723.38 is: 593,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,754.74 : 968,431.50 = 429,723.38 : x
  2. Step 2: Convert to fraction form
    701,754.74/968,431.50 = 429,723.38/x
  3. Step 3: Cross multiply
    701,754.74x = 968,431.50 × 429,723.38
  4. Step 4: Simplify right side
    701,754.74x = 416,157,657,478.47
  5. Step 5: Solve for x
    x = 416,157,657,478.47/701,754.74
  6. Step 6: Final answer
    x = 593,024.36

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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.