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Finding the Fourth Proportional to 276,065.60, 414,098.40 and 98,657.60

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Solution

The fourth proportional to 276,065.60, 414,098.40 and 98,657.60 is: 147,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065.60 : 414,098.40 = 98,657.60 : x
  2. Step 2: Convert to fraction form
    276,065.60/414,098.40 = 98,657.60/x
  3. Step 3: Cross multiply
    276,065.60x = 414,098.40 × 98,657.60
  4. Step 4: Simplify right side
    276,065.60x = 40,853,954,307.84
  5. Step 5: Solve for x
    x = 40,853,954,307.84/276,065.60
  6. Step 6: Final answer
    x = 147,986.40

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1.5x scale

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.