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Finding the Fourth Proportional to 357,173.86, 492,930.18 and 196,056.20

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Solution

The fourth proportional to 357,173.86, 492,930.18 and 196,056.20 is: 270,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,173.86 : 492,930.18 = 196,056.20 : x
  2. Step 2: Convert to fraction form
    357,173.86/492,930.18 = 196,056.20/x
  3. Step 3: Cross multiply
    357,173.86x = 492,930.18 × 196,056.20
  4. Step 4: Simplify right side
    357,173.86x = 96,642,017,956.12
  5. Step 5: Solve for x
    x = 96,642,017,956.12/357,173.86
  6. Step 6: Final answer
    x = 270,574.16

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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.