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Finding the Fourth Proportional to 349,770.34, 523,569.45 and 189,448.06

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Solution

The fourth proportional to 349,770.34, 523,569.45 and 189,448.06 is: 283,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770.34 : 523,569.45 = 189,448.06 : x
  2. Step 2: Convert to fraction form
    349,770.34/523,569.45 = 189,448.06/x
  3. Step 3: Cross multiply
    349,770.34x = 523,569.45 × 189,448.06
  4. Step 4: Simplify right side
    349,770.34x = 99,189,216,577.77
  5. Step 5: Solve for x
    x = 99,189,216,577.77/349,770.34
  6. Step 6: Final answer
    x = 283,583.84

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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.