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Finding the Fourth Proportional to 357,314.64, 493,095.12 and 196,180.08

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Solution

The fourth proportional to 357,314.64, 493,095.12 and 196,180.08 is: 270,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.64 : 493,095.12 = 196,180.08 : x
  2. Step 2: Convert to fraction form
    357,314.64/493,095.12 = 196,180.08/x
  3. Step 3: Cross multiply
    357,314.64x = 493,095.12 × 196,180.08
  4. Step 4: Simplify right side
    357,314.64x = 96,735,440,089.21
  5. Step 5: Solve for x
    x = 96,735,440,089.21/357,314.64
  6. Step 6: Final answer
    x = 270,729.01

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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.