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Finding the Fourth Proportional to 358,966.38, 495,376.86 and 197,827.16

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Solution

The fourth proportional to 358,966.38, 495,376.86 and 197,827.16 is: 273,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,966.38 : 495,376.86 = 197,827.16 : x
  2. Step 2: Convert to fraction form
    358,966.38/495,376.86 = 197,827.16/x
  3. Step 3: Cross multiply
    358,966.38x = 495,376.86 × 197,827.16
  4. Step 4: Simplify right side
    358,966.38x = 97,998,997,343.52
  5. Step 5: Solve for x
    x = 97,998,997,343.52/358,966.38
  6. Step 6: Final answer
    x = 273,003.27

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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.