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Finding the Fourth Proportional to 653,506.58, 980,643.54 and 274,398.16

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Solution

The fourth proportional to 653,506.58, 980,643.54 and 274,398.16 is: 411,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,506.58 : 980,643.54 = 274,398.16 : x
  2. Step 2: Convert to fraction form
    653,506.58/980,643.54 = 274,398.16/x
  3. Step 3: Cross multiply
    653,506.58x = 980,643.54 × 274,398.16
  4. Step 4: Simplify right side
    653,506.58x = 269,086,780,540.28
  5. Step 5: Solve for x
    x = 269,086,780,540.28/653,506.58
  6. Step 6: Final answer
    x = 411,758.34

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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.