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Finding the Fourth Proportional to 276,339, 414,508.61 and 98,835.40

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Solution

The fourth proportional to 276,339, 414,508.61 and 98,835.40 is: 148,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,339 : 414,508.61 = 98,835.40 : x
  2. Step 2: Convert to fraction form
    276,339/414,508.61 = 98,835.40/x
  3. Step 3: Cross multiply
    276,339x = 414,508.61 × 98,835.40
  4. Step 4: Simplify right side
    276,339x = 40,968,124,272.79
  5. Step 5: Solve for x
    x = 40,968,124,272.79/276,339
  6. Step 6: Final answer
    x = 148,253.14

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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.