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Finding the Fourth Proportional to 335,330.16, 463,495.32 and 294,739.44

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Solution

The fourth proportional to 335,330.16, 463,495.32 and 294,739.44 is: 407,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,330.16 : 463,495.32 = 294,739.44 : x
  2. Step 2: Convert to fraction form
    335,330.16/463,495.32 = 294,739.44/x
  3. Step 3: Cross multiply
    335,330.16x = 463,495.32 × 294,739.44
  4. Step 4: Simplify right side
    335,330.16x = 136,610,351,059.42
  5. Step 5: Solve for x
    x = 136,610,351,059.42/335,330.16
  6. Step 6: Final answer
    x = 407,390.59

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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.