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Finding the Fourth Proportional to 310,666.06, 466,465.66 and 177,696.46

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Solution

The fourth proportional to 310,666.06, 466,465.66 and 177,696.46 is: 266,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,666.06 : 466,465.66 = 177,696.46 : x
  2. Step 2: Convert to fraction form
    310,666.06/466,465.66 = 177,696.46/x
  3. Step 3: Cross multiply
    310,666.06x = 466,465.66 × 177,696.46
  4. Step 4: Simplify right side
    310,666.06x = 82,889,296,493.56
  5. Step 5: Solve for x
    x = 82,889,296,493.56/310,666.06
  6. Step 6: Final answer
    x = 266,811.56

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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.