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Finding the Fourth Proportional to 298,773.41, 412,307.35 and 162,807.41

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Solution

The fourth proportional to 298,773.41, 412,307.35 and 162,807.41 is: 224,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,773.41 : 412,307.35 = 162,807.41 : x
  2. Step 2: Convert to fraction form
    298,773.41/412,307.35 = 162,807.41/x
  3. Step 3: Cross multiply
    298,773.41x = 412,307.35 × 162,807.41
  4. Step 4: Simplify right side
    298,773.41x = 67,126,692,401.21
  5. Step 5: Solve for x
    x = 67,126,692,401.21/298,773.41
  6. Step 6: Final answer
    x = 224,674.26

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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.