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Finding the Fourth Proportional to 456,056.64, 629,353.52 and 254,852.64

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Solution

The fourth proportional to 456,056.64, 629,353.52 and 254,852.64 is: 351,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,056.64 : 629,353.52 = 254,852.64 : x
  2. Step 2: Convert to fraction form
    456,056.64/629,353.52 = 254,852.64/x
  3. Step 3: Cross multiply
    456,056.64x = 629,353.52 × 254,852.64
  4. Step 4: Simplify right side
    456,056.64x = 160,392,406,065.29
  5. Step 5: Solve for x
    x = 160,392,406,065.29/456,056.64
  6. Step 6: Final answer
    x = 351,694.05

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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.