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Finding the Fourth Proportional to 313,826.96, 433,082.74 and 170,587

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Solution

The fourth proportional to 313,826.96, 433,082.74 and 170,587 is: 235,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,826.96 : 433,082.74 = 170,587 : x
  2. Step 2: Convert to fraction form
    313,826.96/433,082.74 = 170,587/x
  3. Step 3: Cross multiply
    313,826.96x = 433,082.74 × 170,587
  4. Step 4: Simplify right side
    313,826.96x = 73,878,285,368.38
  5. Step 5: Solve for x
    x = 73,878,285,368.38/313,826.96
  6. Step 6: Final answer
    x = 235,410.89

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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.