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Finding the Fourth Proportional to 737,138, 1,017,301.32 and 414,878.48

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Solution

The fourth proportional to 737,138, 1,017,301.32 and 414,878.48 is: 572,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,138 : 1,017,301.32 = 414,878.48 : x
  2. Step 2: Convert to fraction form
    737,138/1,017,301.32 = 414,878.48/x
  3. Step 3: Cross multiply
    737,138x = 1,017,301.32 × 414,878.48
  4. Step 4: Simplify right side
    737,138x = 422,056,425,343.59
  5. Step 5: Solve for x
    x = 422,056,425,343.59/737,138
  6. Step 6: Final answer
    x = 572,560.94

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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.