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Finding the Fourth Proportional to 565,646.80, 780,546.32 and 333,036.94

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Solution

The fourth proportional to 565,646.80, 780,546.32 and 333,036.94 is: 459,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,646.80 : 780,546.32 = 333,036.94 : x
  2. Step 2: Convert to fraction form
    565,646.80/780,546.32 = 333,036.94/x
  3. Step 3: Cross multiply
    565,646.80x = 780,546.32 × 333,036.94
  4. Step 4: Simplify right side
    565,646.80x = 259,950,757,941.06
  5. Step 5: Solve for x
    x = 259,950,757,941.06/565,646.80
  6. Step 6: Final answer
    x = 459,563.74

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Why These Related Problems?

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