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Finding the Fourth Proportional to 314,405.74, 433,751.73 and 193,510.54

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Solution

The fourth proportional to 314,405.74, 433,751.73 and 193,510.54 is: 266,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.74 : 433,751.73 = 193,510.54 : x
  2. Step 2: Convert to fraction form
    314,405.74/433,751.73 = 193,510.54/x
  3. Step 3: Cross multiply
    314,405.74x = 433,751.73 × 193,510.54
  4. Step 4: Simplify right side
    314,405.74x = 83,935,531,498.23
  5. Step 5: Solve for x
    x = 83,935,531,498.23/314,405.74
  6. Step 6: Final answer
    x = 266,965.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.