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Finding the Fourth Proportional to 601,172.16, 829,618.65 and 325,533.02

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Solution

The fourth proportional to 601,172.16, 829,618.65 and 325,533.02 is: 449,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,172.16 : 829,618.65 = 325,533.02 : x
  2. Step 2: Convert to fraction form
    601,172.16/829,618.65 = 325,533.02/x
  3. Step 3: Cross multiply
    601,172.16x = 829,618.65 × 325,533.02
  4. Step 4: Simplify right side
    601,172.16x = 270,068,260,434.73
  5. Step 5: Solve for x
    x = 270,068,260,434.73/601,172.16
  6. Step 6: Final answer
    x = 449,236.14

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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.