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Finding the Fourth Proportional to 342,583.18, 472,450.65 and 294,168.64

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Solution

The fourth proportional to 342,583.18, 472,450.65 and 294,168.64 is: 405,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,583.18 : 472,450.65 = 294,168.64 : x
  2. Step 2: Convert to fraction form
    342,583.18/472,450.65 = 294,168.64/x
  3. Step 3: Cross multiply
    342,583.18x = 472,450.65 × 294,168.64
  4. Step 4: Simplify right side
    342,583.18x = 138,980,164,518.81
  5. Step 5: Solve for x
    x = 138,980,164,518.81/342,583.18
  6. Step 6: Final answer
    x = 405,682.98

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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.