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Finding the Fourth Proportional to 289,070.30, 433,356.28 and 111,701.77

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Solution

The fourth proportional to 289,070.30, 433,356.28 and 111,701.77 is: 167,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,070.30 : 433,356.28 = 111,701.77 : x
  2. Step 2: Convert to fraction form
    289,070.30/433,356.28 = 111,701.77/x
  3. Step 3: Cross multiply
    289,070.30x = 433,356.28 × 111,701.77
  4. Step 4: Simplify right side
    289,070.30x = 48,406,662,153.97
  5. Step 5: Solve for x
    x = 48,406,662,153.97/289,070.30
  6. Step 6: Final answer
    x = 167,456.37

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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.