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Finding the Fourth Proportional to 272,912.40, 409,368.60 and 152,846.10

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Solution

The fourth proportional to 272,912.40, 409,368.60 and 152,846.10 is: 229,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912.40 : 409,368.60 = 152,846.10 : x
  2. Step 2: Convert to fraction form
    272,912.40/409,368.60 = 152,846.10/x
  3. Step 3: Cross multiply
    272,912.40x = 409,368.60 × 152,846.10
  4. Step 4: Simplify right side
    272,912.40x = 62,570,393,972.46
  5. Step 5: Solve for x
    x = 62,570,393,972.46/272,912.40
  6. Step 6: Final answer
    x = 229,269.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.