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Finding the Fourth Proportional to 515,678.40, 711,625.14 and 286,222.32

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Solution

The fourth proportional to 515,678.40, 711,625.14 and 286,222.32 is: 394,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,678.40 : 711,625.14 = 286,222.32 : x
  2. Step 2: Convert to fraction form
    515,678.40/711,625.14 = 286,222.32/x
  3. Step 3: Cross multiply
    515,678.40x = 711,625.14 × 286,222.32
  4. Step 4: Simplify right side
    515,678.40x = 203,682,998,541.13
  5. Step 5: Solve for x
    x = 203,682,998,541.13/515,678.40
  6. Step 6: Final answer
    x = 394,980.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.