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Finding the Fourth Proportional to 314,336.53, 471,505.20 and 77,675.59

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Solution

The fourth proportional to 314,336.53, 471,505.20 and 77,675.59 is: 116,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,336.53 : 471,505.20 = 77,675.59 : x
  2. Step 2: Convert to fraction form
    314,336.53/471,505.20 = 77,675.59/x
  3. Step 3: Cross multiply
    314,336.53x = 471,505.20 × 77,675.59
  4. Step 4: Simplify right side
    314,336.53x = 36,624,444,598.07
  5. Step 5: Solve for x
    x = 36,624,444,598.07/314,336.53
  6. Step 6: Final answer
    x = 116,513.49

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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.