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Finding the Fourth Proportional to 194,476.40, 291,714.57 and 46,732.40

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Solution

The fourth proportional to 194,476.40, 291,714.57 and 46,732.40 is: 70,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,476.40 : 291,714.57 = 46,732.40 : x
  2. Step 2: Convert to fraction form
    194,476.40/291,714.57 = 46,732.40/x
  3. Step 3: Cross multiply
    194,476.40x = 291,714.57 × 46,732.40
  4. Step 4: Simplify right side
    194,476.40x = 13,632,521,971.07
  5. Step 5: Solve for x
    x = 13,632,521,971.07/194,476.40
  6. Step 6: Final answer
    x = 70,098.59

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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.