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Finding the Fourth Proportional to 413,281.20, 619,405.20 and 176,347.20

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Solution

The fourth proportional to 413,281.20, 619,405.20 and 176,347.20 is: 264,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,281.20 : 619,405.20 = 176,347.20 : x
  2. Step 2: Convert to fraction form
    413,281.20/619,405.20 = 176,347.20/x
  3. Step 3: Cross multiply
    413,281.20x = 619,405.20 × 176,347.20
  4. Step 4: Simplify right side
    413,281.20x = 109,230,372,685.44
  5. Step 5: Solve for x
    x = 109,230,372,685.44/413,281.20
  6. Step 6: Final answer
    x = 264,300.37

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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.