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Finding the Fourth Proportional to 464,224.13, 696,336.20 and 306,415.67

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Solution

The fourth proportional to 464,224.13, 696,336.20 and 306,415.67 is: 459,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,224.13 : 696,336.20 = 306,415.67 : x
  2. Step 2: Convert to fraction form
    464,224.13/696,336.20 = 306,415.67/x
  3. Step 3: Cross multiply
    464,224.13x = 696,336.20 × 306,415.67
  4. Step 4: Simplify right side
    464,224.13x = 213,368,323,268.25
  5. Step 5: Solve for x
    x = 213,368,323,268.25/464,224.13
  6. Step 6: Final answer
    x = 459,623.51

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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.