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Finding the Fourth Proportional to 276,657.40, 414,986.10 and 152,241.40

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Solution

The fourth proportional to 276,657.40, 414,986.10 and 152,241.40 is: 228,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,657.40 : 414,986.10 = 152,241.40 : x
  2. Step 2: Convert to fraction form
    276,657.40/414,986.10 = 152,241.40/x
  3. Step 3: Cross multiply
    276,657.40x = 414,986.10 × 152,241.40
  4. Step 4: Simplify right side
    276,657.40x = 63,178,064,844.54
  5. Step 5: Solve for x
    x = 63,178,064,844.54/276,657.40
  6. Step 6: Final answer
    x = 228,362.10

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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.