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Finding the Fourth Proportional to 358,964.37, 495,374.10 and 197,825.16

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Solution

The fourth proportional to 358,964.37, 495,374.10 and 197,825.16 is: 273,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,964.37 : 495,374.10 = 197,825.16 : x
  2. Step 2: Convert to fraction form
    358,964.37/495,374.10 = 197,825.16/x
  3. Step 3: Cross multiply
    358,964.37x = 495,374.10 × 197,825.16
  4. Step 4: Simplify right side
    358,964.37x = 97,997,460,592.36
  5. Step 5: Solve for x
    x = 97,997,460,592.36/358,964.37
  6. Step 6: Final answer
    x = 273,000.52

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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.