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Finding the Fourth Proportional to 537,509.16, 806,234.58 and 163,503

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Solution

The fourth proportional to 537,509.16, 806,234.58 and 163,503 is: 245,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,509.16 : 806,234.58 = 163,503 : x
  2. Step 2: Convert to fraction form
    537,509.16/806,234.58 = 163,503/x
  3. Step 3: Cross multiply
    537,509.16x = 806,234.58 × 163,503
  4. Step 4: Simplify right side
    537,509.16x = 131,821,772,533.74
  5. Step 5: Solve for x
    x = 131,821,772,533.74/537,509.16
  6. Step 6: Final answer
    x = 245,245.63

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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.