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Finding the Fourth Proportional to 515,424.85, 711,325.25 and 286,025.56

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Solution

The fourth proportional to 515,424.85, 711,325.25 and 286,025.56 is: 394,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,424.85 : 711,325.25 = 286,025.56 : x
  2. Step 2: Convert to fraction form
    515,424.85/711,325.25 = 286,025.56/x
  3. Step 3: Cross multiply
    515,424.85x = 711,325.25 × 286,025.56
  4. Step 4: Simplify right side
    515,424.85x = 203,457,197,986.64
  5. Step 5: Solve for x
    x = 203,457,197,986.64/515,424.85
  6. Step 6: Final answer
    x = 394,736.89

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1.5x scale

Why These Related Problems?

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