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Finding the Fourth Proportional to 565,468.56, 780,528.42 and 362,067.30

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Solution

The fourth proportional to 565,468.56, 780,528.42 and 362,067.30 is: 499,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,468.56 : 780,528.42 = 362,067.30 : x
  2. Step 2: Convert to fraction form
    565,468.56/780,528.42 = 362,067.30/x
  3. Step 3: Cross multiply
    565,468.56x = 780,528.42 × 362,067.30
  4. Step 4: Simplify right side
    565,468.56x = 282,603,817,602.67
  5. Step 5: Solve for x
    x = 282,603,817,602.67/565,468.56
  6. Step 6: Final answer
    x = 499,769.28

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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.