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Finding the Fourth Proportional to 523,737.84, 785,951.16 and 287,246.52

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Solution

The fourth proportional to 523,737.84, 785,951.16 and 287,246.52 is: 431,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,737.84 : 785,951.16 = 287,246.52 : x
  2. Step 2: Convert to fraction form
    523,737.84/785,951.16 = 287,246.52/x
  3. Step 3: Cross multiply
    523,737.84x = 785,951.16 × 287,246.52
  4. Step 4: Simplify right side
    523,737.84x = 225,761,735,599.96
  5. Step 5: Solve for x
    x = 225,761,735,599.96/523,737.84
  6. Step 6: Final answer
    x = 431,058.67

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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.