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Finding the Fourth Proportional to 565,607.41, 780,316.13 and 323,759.84

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Solution

The fourth proportional to 565,607.41, 780,316.13 and 323,759.84 is: 446,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,607.41 : 780,316.13 = 323,759.84 : x
  2. Step 2: Convert to fraction form
    565,607.41/780,316.13 = 323,759.84/x
  3. Step 3: Cross multiply
    565,607.41x = 780,316.13 × 323,759.84
  4. Step 4: Simplify right side
    565,607.41x = 252,635,022,306.04
  5. Step 5: Solve for x
    x = 252,635,022,306.04/565,607.41
  6. Step 6: Final answer
    x = 446,661.45

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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.