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Finding the Fourth Proportional to 565,527.02, 780,609.36 and 362,126

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Solution

The fourth proportional to 565,527.02, 780,609.36 and 362,126 is: 499,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,527.02 : 780,609.36 = 362,126 : x
  2. Step 2: Convert to fraction form
    565,527.02/780,609.36 = 362,126/x
  3. Step 3: Cross multiply
    565,527.02x = 780,609.36 × 362,126
  4. Step 4: Simplify right side
    565,527.02x = 282,678,945,099.36
  5. Step 5: Solve for x
    x = 282,678,945,099.36/565,527.02
  6. Step 6: Final answer
    x = 499,850.47

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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.