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Finding the Fourth Proportional to 447,713.80, 671,570.70 and 421,448.20

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Solution

The fourth proportional to 447,713.80, 671,570.70 and 421,448.20 is: 632,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,713.80 : 671,570.70 = 421,448.20 : x
  2. Step 2: Convert to fraction form
    447,713.80/671,570.70 = 421,448.20/x
  3. Step 3: Cross multiply
    447,713.80x = 671,570.70 × 421,448.20
  4. Step 4: Simplify right side
    447,713.80x = 283,032,262,687.74
  5. Step 5: Solve for x
    x = 283,032,262,687.74/447,713.80
  6. Step 6: Final answer
    x = 632,172.30

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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.