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Finding the Fourth Proportional to 309,095.40, 463,643.10 and 131,608.20

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Solution

The fourth proportional to 309,095.40, 463,643.10 and 131,608.20 is: 197,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,095.40 : 463,643.10 = 131,608.20 : x
  2. Step 2: Convert to fraction form
    309,095.40/463,643.10 = 131,608.20/x
  3. Step 3: Cross multiply
    309,095.40x = 463,643.10 × 131,608.20
  4. Step 4: Simplify right side
    309,095.40x = 61,019,233,833.42
  5. Step 5: Solve for x
    x = 61,019,233,833.42/309,095.40
  6. Step 6: Final answer
    x = 197,412.30

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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.