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Finding the Fourth Proportional to 289,028.70, 433,543.05 and 78,666.30

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Solution

The fourth proportional to 289,028.70, 433,543.05 and 78,666.30 is: 117,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,028.70 : 433,543.05 = 78,666.30 : x
  2. Step 2: Convert to fraction form
    289,028.70/433,543.05 = 78,666.30/x
  3. Step 3: Cross multiply
    289,028.70x = 433,543.05 × 78,666.30
  4. Step 4: Simplify right side
    289,028.70x = 34,105,227,634.22
  5. Step 5: Solve for x
    x = 34,105,227,634.22/289,028.70
  6. Step 6: Final answer
    x = 117,999.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.