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Finding the Fourth Proportional to 291,713.10, 437,569.65 and 197,234.70

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Solution

The fourth proportional to 291,713.10, 437,569.65 and 197,234.70 is: 295,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.10 : 437,569.65 = 197,234.70 : x
  2. Step 2: Convert to fraction form
    291,713.10/437,569.65 = 197,234.70/x
  3. Step 3: Cross multiply
    291,713.10x = 437,569.65 × 197,234.70
  4. Step 4: Simplify right side
    291,713.10x = 86,303,918,646.86
  5. Step 5: Solve for x
    x = 86,303,918,646.86/291,713.10
  6. Step 6: Final answer
    x = 295,852.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.