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Finding the Fourth Proportional to 447,306.35, 617,655.33 and 414,852.03

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Solution

The fourth proportional to 447,306.35, 617,655.33 and 414,852.03 is: 572,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,306.35 : 617,655.33 = 414,852.03 : x
  2. Step 2: Convert to fraction form
    447,306.35/617,655.33 = 414,852.03/x
  3. Step 3: Cross multiply
    447,306.35x = 617,655.33 × 414,852.03
  4. Step 4: Simplify right side
    447,306.35x = 256,235,567,490.82
  5. Step 5: Solve for x
    x = 256,235,567,490.82/447,306.35
  6. Step 6: Final answer
    x = 572,841.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.