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Finding the Fourth Proportional to 413,330.40, 619,405.20 and 235,461.60

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Solution

The fourth proportional to 413,330.40, 619,405.20 and 235,461.60 is: 352,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,330.40 : 619,405.20 = 235,461.60 : x
  2. Step 2: Convert to fraction form
    413,330.40/619,405.20 = 235,461.60/x
  3. Step 3: Cross multiply
    413,330.40x = 619,405.20 × 235,461.60
  4. Step 4: Simplify right side
    413,330.40x = 145,846,139,440.32
  5. Step 5: Solve for x
    x = 145,846,139,440.32/413,330.40
  6. Step 6: Final answer
    x = 352,856.07

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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.