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Finding the Fourth Proportional to 425,100, 586,638.06 and 234,113.04

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Solution

The fourth proportional to 425,100, 586,638.06 and 234,113.04 is: 323,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,100 : 586,638.06 = 234,113.04 : x
  2. Step 2: Convert to fraction form
    425,100/586,638.06 = 234,113.04/x
  3. Step 3: Cross multiply
    425,100x = 586,638.06 × 234,113.04
  4. Step 4: Simplify right side
    425,100x = 137,339,619,606.30
  5. Step 5: Solve for x
    x = 137,339,619,606.30/425,100
  6. Step 6: Final answer
    x = 323,076.03

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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.