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Finding the Fourth Proportional to 538,415.60, 807,623.40 and 164,438.60

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Solution

The fourth proportional to 538,415.60, 807,623.40 and 164,438.60 is: 246,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,415.60 : 807,623.40 = 164,438.60 : x
  2. Step 2: Convert to fraction form
    538,415.60/807,623.40 = 164,438.60/x
  3. Step 3: Cross multiply
    538,415.60x = 807,623.40 × 164,438.60
  4. Step 4: Simplify right side
    538,415.60x = 132,804,461,223.24
  5. Step 5: Solve for x
    x = 132,804,461,223.24/538,415.60
  6. Step 6: Final answer
    x = 246,657.90

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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.