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Finding the Fourth Proportional to 476,013.74, 712,927.10 and 400,168.58

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Solution

The fourth proportional to 476,013.74, 712,927.10 and 400,168.58 is: 599,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,013.74 : 712,927.10 = 400,168.58 : x
  2. Step 2: Convert to fraction form
    476,013.74/712,927.10 = 400,168.58/x
  3. Step 3: Cross multiply
    476,013.74x = 712,927.10 × 400,168.58
  4. Step 4: Simplify right side
    476,013.74x = 285,291,022,686.30
  5. Step 5: Solve for x
    x = 285,291,022,686.30/476,013.74
  6. Step 6: Final answer
    x = 599,333.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.