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Finding the Fourth Proportional to 276,059.20, 414,088.80 and 242,816.80

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Solution

The fourth proportional to 276,059.20, 414,088.80 and 242,816.80 is: 364,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,059.20 : 414,088.80 = 242,816.80 : x
  2. Step 2: Convert to fraction form
    276,059.20/414,088.80 = 242,816.80/x
  3. Step 3: Cross multiply
    276,059.20x = 414,088.80 × 242,816.80
  4. Step 4: Simplify right side
    276,059.20x = 100,547,717,331.84
  5. Step 5: Solve for x
    x = 100,547,717,331.84/276,059.20
  6. Step 6: Final answer
    x = 364,225.20

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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.