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Finding the Fourth Proportional to 538,461.10, 807,684.45 and 164,485.90

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Solution

The fourth proportional to 538,461.10, 807,684.45 and 164,485.90 is: 246,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,461.10 : 807,684.45 = 164,485.90 : x
  2. Step 2: Convert to fraction form
    538,461.10/807,684.45 = 164,485.90/x
  3. Step 3: Cross multiply
    538,461.10x = 807,684.45 × 164,485.90
  4. Step 4: Simplify right side
    538,461.10x = 132,852,703,674.26
  5. Step 5: Solve for x
    x = 132,852,703,674.26/538,461.10
  6. Step 6: Final answer
    x = 246,726.65

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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.