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Finding the Fourth Proportional to 403,266.40, 604,640.40 and 166,703.20

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Solution

The fourth proportional to 403,266.40, 604,640.40 and 166,703.20 is: 249,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,266.40 : 604,640.40 = 166,703.20 : x
  2. Step 2: Convert to fraction form
    403,266.40/604,640.40 = 166,703.20/x
  3. Step 3: Cross multiply
    403,266.40x = 604,640.40 × 166,703.20
  4. Step 4: Simplify right side
    403,266.40x = 100,795,489,529.28
  5. Step 5: Solve for x
    x = 100,795,489,529.28/403,266.40
  6. Step 6: Final answer
    x = 249,947.65

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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.