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Finding the Fourth Proportional to 275,774.02, 413,558.87 and 98,233.86

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Solution

The fourth proportional to 275,774.02, 413,558.87 and 98,233.86 is: 147,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,774.02 : 413,558.87 = 98,233.86 : x
  2. Step 2: Convert to fraction form
    275,774.02/413,558.87 = 98,233.86/x
  3. Step 3: Cross multiply
    275,774.02x = 413,558.87 × 98,233.86
  4. Step 4: Simplify right side
    275,774.02x = 40,625,484,137.34
  5. Step 5: Solve for x
    x = 40,625,484,137.34/275,774.02
  6. Step 6: Final answer
    x = 147,314.40

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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.