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Finding the Fourth Proportional to 515,681.46, 711,629.28 and 286,225.29

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Solution

The fourth proportional to 515,681.46, 711,629.28 and 286,225.29 is: 394,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,681.46 : 711,629.28 = 286,225.29 : x
  2. Step 2: Convert to fraction form
    515,681.46/711,629.28 = 286,225.29/x
  3. Step 3: Cross multiply
    515,681.46x = 711,629.28 × 286,225.29
  4. Step 4: Simplify right side
    515,681.46x = 203,686,297,040.49
  5. Step 5: Solve for x
    x = 203,686,297,040.49/515,681.46
  6. Step 6: Final answer
    x = 394,984.72

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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.