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Finding the Fourth Proportional to 504,406.89, 755,769.33 and 414,726.21

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Solution

The fourth proportional to 504,406.89, 755,769.33 and 414,726.21 is: 621,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,406.89 : 755,769.33 = 414,726.21 : x
  2. Step 2: Convert to fraction form
    504,406.89/755,769.33 = 414,726.21/x
  3. Step 3: Cross multiply
    504,406.89x = 755,769.33 × 414,726.21
  4. Step 4: Simplify right side
    504,406.89x = 313,437,349,865.14
  5. Step 5: Solve for x
    x = 313,437,349,865.14/504,406.89
  6. Step 6: Final answer
    x = 621,397.84

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1.5x scale

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.