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Finding the Fourth Proportional to 843,853.56, 1,164,515.94 and 461,877

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Solution

The fourth proportional to 843,853.56, 1,164,515.94 and 461,877 is: 637,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,853.56 : 1,164,515.94 = 461,877 : x
  2. Step 2: Convert to fraction form
    843,853.56/1,164,515.94 = 461,877/x
  3. Step 3: Cross multiply
    843,853.56x = 1,164,515.94 × 461,877
  4. Step 4: Simplify right side
    843,853.56x = 537,863,128,819.38
  5. Step 5: Solve for x
    x = 537,863,128,819.38/843,853.56
  6. Step 6: Final answer
    x = 637,389.18

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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.