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Finding the Fourth Proportional to 565,389.35, 780,228.25 and 310,735.07

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Solution

The fourth proportional to 565,389.35, 780,228.25 and 310,735.07 is: 428,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,389.35 : 780,228.25 = 310,735.07 : x
  2. Step 2: Convert to fraction form
    565,389.35/780,228.25 = 310,735.07/x
  3. Step 3: Cross multiply
    565,389.35x = 780,228.25 × 310,735.07
  4. Step 4: Simplify right side
    565,389.35x = 242,444,278,326.05
  5. Step 5: Solve for x
    x = 242,444,278,326.05/565,389.35
  6. Step 6: Final answer
    x = 428,809.42

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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.