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Finding the Fourth Proportional to 194,648, 291,972 and 46,904

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Solution

The fourth proportional to 194,648, 291,972 and 46,904 is: 70,356

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,648 : 291,972 = 46,904 : x
  2. Step 2: Convert to fraction form
    194,648/291,972 = 46,904/x
  3. Step 3: Cross multiply
    194,648x = 291,972 × 46,904
  4. Step 4: Simplify right side
    194,648x = 13,694,654,688
  5. Step 5: Solve for x
    x = 13,694,654,688/194,648
  6. Step 6: Final answer
    x = 70,356

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.