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Finding the Fourth Proportional to 461,913.12, 638,052.11 and 371,609.19

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Solution

The fourth proportional to 461,913.12, 638,052.11 and 371,609.19 is: 513,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,913.12 : 638,052.11 = 371,609.19 : x
  2. Step 2: Convert to fraction form
    461,913.12/638,052.11 = 371,609.19/x
  3. Step 3: Cross multiply
    461,913.12x = 638,052.11 × 371,609.19
  4. Step 4: Simplify right side
    461,913.12x = 237,106,027,774.89
  5. Step 5: Solve for x
    x = 237,106,027,774.89/461,913.12
  6. Step 6: Final answer
    x = 513,313.04

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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.