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Finding the Fourth Proportional to 601,242.64, 829,715.30 and 325,602.64

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Solution

The fourth proportional to 601,242.64, 829,715.30 and 325,602.64 is: 449,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,242.64 : 829,715.30 = 325,602.64 : x
  2. Step 2: Convert to fraction form
    601,242.64/829,715.30 = 325,602.64/x
  3. Step 3: Cross multiply
    601,242.64x = 829,715.30 × 325,602.64
  4. Step 4: Simplify right side
    601,242.64x = 270,157,486,351.80
  5. Step 5: Solve for x
    x = 270,157,486,351.80/601,242.64
  6. Step 6: Final answer
    x = 449,331.88

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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.