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Finding the Fourth Proportional to 309,234.47, 463,319.16 and 241,740.25

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Solution

The fourth proportional to 309,234.47, 463,319.16 and 241,740.25 is: 362,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,234.47 : 463,319.16 = 241,740.25 : x
  2. Step 2: Convert to fraction form
    309,234.47/463,319.16 = 241,740.25/x
  3. Step 3: Cross multiply
    309,234.47x = 463,319.16 × 241,740.25
  4. Step 4: Simplify right side
    309,234.47x = 112,002,889,568.19
  5. Step 5: Solve for x
    x = 112,002,889,568.19/309,234.47
  6. Step 6: Final answer
    x = 362,194.06

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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.