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Finding the Fourth Proportional to 357,445.68, 493,275.48 and 196,311.12

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Solution

The fourth proportional to 357,445.68, 493,275.48 and 196,311.12 is: 270,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,445.68 : 493,275.48 = 196,311.12 : x
  2. Step 2: Convert to fraction form
    357,445.68/493,275.48 = 196,311.12/x
  3. Step 3: Cross multiply
    357,445.68x = 493,275.48 × 196,311.12
  4. Step 4: Simplify right side
    357,445.68x = 96,835,461,947.34
  5. Step 5: Solve for x
    x = 96,835,461,947.34/357,445.68
  6. Step 6: Final answer
    x = 270,909.59

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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.