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Finding the Fourth Proportional to 401,193.81, 601,200.23 and 176,348.34

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Solution

The fourth proportional to 401,193.81, 601,200.23 and 176,348.34 is: 264,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,193.81 : 601,200.23 = 176,348.34 : x
  2. Step 2: Convert to fraction form
    401,193.81/601,200.23 = 176,348.34/x
  3. Step 3: Cross multiply
    401,193.81x = 601,200.23 × 176,348.34
  4. Step 4: Simplify right side
    401,193.81x = 106,020,661,686.38
  5. Step 5: Solve for x
    x = 106,020,661,686.38/401,193.81
  6. Step 6: Final answer
    x = 264,262.95

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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.