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Finding the Fourth Proportional to 389,607.95, 583,969.39 and 164,828.09

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Solution

The fourth proportional to 389,607.95, 583,969.39 and 164,828.09 is: 247,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,607.95 : 583,969.39 = 164,828.09 : x
  2. Step 2: Convert to fraction form
    389,607.95/583,969.39 = 164,828.09/x
  3. Step 3: Cross multiply
    389,607.95x = 583,969.39 × 164,828.09
  4. Step 4: Simplify right side
    389,607.95x = 96,254,555,840.25
  5. Step 5: Solve for x
    x = 96,254,555,840.25/389,607.95
  6. Step 6: Final answer
    x = 247,054.91

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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.