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Finding the Fourth Proportional to 310,035.40, 465,053.10 and 304,786.60

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Solution

The fourth proportional to 310,035.40, 465,053.10 and 304,786.60 is: 457,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,035.40 : 465,053.10 = 304,786.60 : x
  2. Step 2: Convert to fraction form
    310,035.40/465,053.10 = 304,786.60/x
  3. Step 3: Cross multiply
    310,035.40x = 465,053.10 × 304,786.60
  4. Step 4: Simplify right side
    310,035.40x = 141,741,953,168.46
  5. Step 5: Solve for x
    x = 141,741,953,168.46/310,035.40
  6. Step 6: Final answer
    x = 457,179.90

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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.