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Finding the Fourth Proportional to 357,416.61, 493,238.35 and 196,275.03

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Solution

The fourth proportional to 357,416.61, 493,238.35 and 196,275.03 is: 270,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,416.61 : 493,238.35 = 196,275.03 : x
  2. Step 2: Convert to fraction form
    357,416.61/493,238.35 = 196,275.03/x
  3. Step 3: Cross multiply
    357,416.61x = 493,238.35 × 196,275.03
  4. Step 4: Simplify right side
    357,416.61x = 96,810,371,943.40
  5. Step 5: Solve for x
    x = 96,810,371,943.40/357,416.61
  6. Step 6: Final answer
    x = 270,861.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.