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Finding the Fourth Proportional to 410,072.64, 565,900.32 and 231,224.64

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Solution

The fourth proportional to 410,072.64, 565,900.32 and 231,224.64 is: 319,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,072.64 : 565,900.32 = 231,224.64 : x
  2. Step 2: Convert to fraction form
    410,072.64/565,900.32 = 231,224.64/x
  3. Step 3: Cross multiply
    410,072.64x = 565,900.32 × 231,224.64
  4. Step 4: Simplify right side
    410,072.64x = 130,850,097,767.89
  5. Step 5: Solve for x
    x = 130,850,097,767.89/410,072.64
  6. Step 6: Final answer
    x = 319,090.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.