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Finding the Fourth Proportional to 309,234.72, 463,319.54 and 241,740.50

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Solution

The fourth proportional to 309,234.72, 463,319.54 and 241,740.50 is: 362,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,234.72 : 463,319.54 = 241,740.50 : x
  2. Step 2: Convert to fraction form
    309,234.72/463,319.54 = 241,740.50/x
  3. Step 3: Cross multiply
    309,234.72x = 463,319.54 × 241,740.50
  4. Step 4: Simplify right side
    309,234.72x = 112,003,096,050.67
  5. Step 5: Solve for x
    x = 112,003,096,050.67/309,234.72
  6. Step 6: Final answer
    x = 362,194.44

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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.