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Finding the Fourth Proportional to 657,053.60, 984,851.40 and 257,561.60

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Solution

The fourth proportional to 657,053.60, 984,851.40 and 257,561.60 is: 386,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,053.60 : 984,851.40 = 257,561.60 : x
  2. Step 2: Convert to fraction form
    657,053.60/984,851.40 = 257,561.60/x
  3. Step 3: Cross multiply
    657,053.60x = 984,851.40 × 257,561.60
  4. Step 4: Simplify right side
    657,053.60x = 253,659,902,346.24
  5. Step 5: Solve for x
    x = 253,659,902,346.24/657,053.60
  6. Step 6: Final answer
    x = 386,056.64

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Why These Related Problems?

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