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Finding the Fourth Proportional to 358,312.82, 494,470.71 and 197,178.30

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Solution

The fourth proportional to 358,312.82, 494,470.71 and 197,178.30 is: 272,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,312.82 : 494,470.71 = 197,178.30 : x
  2. Step 2: Convert to fraction form
    358,312.82/494,470.71 = 197,178.30/x
  3. Step 3: Cross multiply
    358,312.82x = 494,470.71 × 197,178.30
  4. Step 4: Simplify right side
    358,312.82x = 97,498,893,997.59
  5. Step 5: Solve for x
    x = 97,498,893,997.59/358,312.82
  6. Step 6: Final answer
    x = 272,105.52

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1.5x scale

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.