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Finding the Fourth Proportional to 418,909.57, 578,077.94 and 227,923.72

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Solution

The fourth proportional to 418,909.57, 578,077.94 and 227,923.72 is: 314,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,909.57 : 578,077.94 = 227,923.72 : x
  2. Step 2: Convert to fraction form
    418,909.57/578,077.94 = 227,923.72/x
  3. Step 3: Cross multiply
    418,909.57x = 578,077.94 × 227,923.72
  4. Step 4: Simplify right side
    418,909.57x = 131,757,674,534.74
  5. Step 5: Solve for x
    x = 131,757,674,534.74/418,909.57
  6. Step 6: Final answer
    x = 314,525.34

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