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Finding the Fourth Proportional to 413,435.40, 619,562.70 and 235,566.60

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Solution

The fourth proportional to 413,435.40, 619,562.70 and 235,566.60 is: 353,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,435.40 : 619,562.70 = 235,566.60 : x
  2. Step 2: Convert to fraction form
    413,435.40/619,562.70 = 235,566.60/x
  3. Step 3: Cross multiply
    413,435.40x = 619,562.70 × 235,566.60
  4. Step 4: Simplify right side
    413,435.40x = 145,948,278,725.82
  5. Step 5: Solve for x
    x = 145,948,278,725.82/413,435.40
  6. Step 6: Final answer
    x = 353,013.50

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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.