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Finding the Fourth Proportional to 401,289.40, 602,274.30 and 164,801.80

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Solution

The fourth proportional to 401,289.40, 602,274.30 and 164,801.80 is: 247,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,289.40 : 602,274.30 = 164,801.80 : x
  2. Step 2: Convert to fraction form
    401,289.40/602,274.30 = 164,801.80/x
  3. Step 3: Cross multiply
    401,289.40x = 602,274.30 × 164,801.80
  4. Step 4: Simplify right side
    401,289.40x = 99,255,888,733.74
  5. Step 5: Solve for x
    x = 99,255,888,733.74/401,289.40
  6. Step 6: Final answer
    x = 247,342.41

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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.