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Finding the Fourth Proportional to 332,598.22, 499,498.65 and 307,270.46

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Solution

The fourth proportional to 332,598.22, 499,498.65 and 307,270.46 is: 461,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,598.22 : 499,498.65 = 307,270.46 : x
  2. Step 2: Convert to fraction form
    332,598.22/499,498.65 = 307,270.46/x
  3. Step 3: Cross multiply
    332,598.22x = 499,498.65 × 307,270.46
  4. Step 4: Simplify right side
    332,598.22x = 153,481,181,203.63
  5. Step 5: Solve for x
    x = 153,481,181,203.63/332,598.22
  6. Step 6: Final answer
    x = 461,461.23

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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.