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Finding the Fourth Proportional to 522,522.64, 783,685.52 and 202,673.90

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Solution

The fourth proportional to 522,522.64, 783,685.52 and 202,673.90 is: 303,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,522.64 : 783,685.52 = 202,673.90 : x
  2. Step 2: Convert to fraction form
    522,522.64/783,685.52 = 202,673.90/x
  3. Step 3: Cross multiply
    522,522.64x = 783,685.52 × 202,673.90
  4. Step 4: Simplify right side
    522,522.64x = 158,832,600,711.93
  5. Step 5: Solve for x
    x = 158,832,600,711.93/522,522.64
  6. Step 6: Final answer
    x = 303,972.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.