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Finding the Fourth Proportional to 309,089.60, 463,288.80 and 131,566.40

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Solution

The fourth proportional to 309,089.60, 463,288.80 and 131,566.40 is: 197,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,089.60 : 463,288.80 = 131,566.40 : x
  2. Step 2: Convert to fraction form
    309,089.60/463,288.80 = 131,566.40/x
  3. Step 3: Cross multiply
    309,089.60x = 463,288.80 × 131,566.40
  4. Step 4: Simplify right side
    309,089.60x = 60,953,239,576.32
  5. Step 5: Solve for x
    x = 60,953,239,576.32/309,089.60
  6. Step 6: Final answer
    x = 197,202.49

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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.