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Finding the Fourth Proportional to 413,271.20, 619,390.20 and 176,337.20

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Solution

The fourth proportional to 413,271.20, 619,390.20 and 176,337.20 is: 264,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,271.20 : 619,390.20 = 176,337.20 : x
  2. Step 2: Convert to fraction form
    413,271.20/619,390.20 = 176,337.20/x
  3. Step 3: Cross multiply
    413,271.20x = 619,390.20 × 176,337.20
  4. Step 4: Simplify right side
    413,271.20x = 109,221,533,575.44
  5. Step 5: Solve for x
    x = 109,221,533,575.44/413,271.20
  6. Step 6: Final answer
    x = 264,285.37

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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.