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Finding the Fourth Proportional to 601,744.19, 830,416.07 and 329,809.91

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Solution

The fourth proportional to 601,744.19, 830,416.07 and 329,809.91 is: 455,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,744.19 : 830,416.07 = 329,809.91 : x
  2. Step 2: Convert to fraction form
    601,744.19/830,416.07 = 329,809.91/x
  3. Step 3: Cross multiply
    601,744.19x = 830,416.07 × 329,809.91
  4. Step 4: Simplify right side
    601,744.19x = 273,879,449,309.25
  5. Step 5: Solve for x
    x = 273,879,449,309.25/601,744.19
  6. Step 6: Final answer
    x = 455,142.66

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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.