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Finding the Fourth Proportional to 683,100, 942,666.33 and 377,168.76

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Solution

The fourth proportional to 683,100, 942,666.33 and 377,168.76 is: 520,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,100 : 942,666.33 = 377,168.76 : x
  2. Step 2: Convert to fraction form
    683,100/942,666.33 = 377,168.76/x
  3. Step 3: Cross multiply
    683,100x = 942,666.33 × 377,168.76
  4. Step 4: Simplify right side
    683,100x = 355,544,290,779.85
  5. Step 5: Solve for x
    x = 355,544,290,779.85/683,100
  6. Step 6: Final answer
    x = 520,486.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.