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Finding the Fourth Proportional to 447,262.80, 670,894.20 and 413,048.40

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Solution

The fourth proportional to 447,262.80, 670,894.20 and 413,048.40 is: 619,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,262.80 : 670,894.20 = 413,048.40 : x
  2. Step 2: Convert to fraction form
    447,262.80/670,894.20 = 413,048.40/x
  3. Step 3: Cross multiply
    447,262.80x = 670,894.20 × 413,048.40
  4. Step 4: Simplify right side
    447,262.80x = 277,111,775,879.28
  5. Step 5: Solve for x
    x = 277,111,775,879.28/447,262.80
  6. Step 6: Final answer
    x = 619,572.60

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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.