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Finding the Fourth Proportional to 257,746.49, 386,425.32 and 169,022.33

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Solution

The fourth proportional to 257,746.49, 386,425.32 and 169,022.33 is: 253,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,746.49 : 386,425.32 = 169,022.33 : x
  2. Step 2: Convert to fraction form
    257,746.49/386,425.32 = 169,022.33/x
  3. Step 3: Cross multiply
    257,746.49x = 386,425.32 × 169,022.33
  4. Step 4: Simplify right side
    257,746.49x = 65,314,507,957.40
  5. Step 5: Solve for x
    x = 65,314,507,957.40/257,746.49
  6. Step 6: Final answer
    x = 253,406.00

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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.