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Finding the Fourth Proportional to 564,185.75, 778,372.01 and 370,697.67

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Solution

The fourth proportional to 564,185.75, 778,372.01 and 370,697.67 is: 511,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,185.75 : 778,372.01 = 370,697.67 : x
  2. Step 2: Convert to fraction form
    564,185.75/778,372.01 = 370,697.67/x
  3. Step 3: Cross multiply
    564,185.75x = 778,372.01 × 370,697.67
  4. Step 4: Simplify right side
    564,185.75x = 288,540,693,581.47
  5. Step 5: Solve for x
    x = 288,540,693,581.47/564,185.75
  6. Step 6: Final answer
    x = 511,428.54

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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.