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Finding the Fourth Proportional to 409,628.20, 614,442.30 and 241,666.60

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Solution

The fourth proportional to 409,628.20, 614,442.30 and 241,666.60 is: 362,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,628.20 : 614,442.30 = 241,666.60 : x
  2. Step 2: Convert to fraction form
    409,628.20/614,442.30 = 241,666.60/x
  3. Step 3: Cross multiply
    409,628.20x = 614,442.30 × 241,666.60
  4. Step 4: Simplify right side
    409,628.20x = 148,490,181,537.18
  5. Step 5: Solve for x
    x = 148,490,181,537.18/409,628.20
  6. Step 6: Final answer
    x = 362,499.90

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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.