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Finding the Fourth Proportional to 537,693.24, 805,977.12 and 200,598.24

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Solution

The fourth proportional to 537,693.24, 805,977.12 and 200,598.24 is: 300,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,693.24 : 805,977.12 = 200,598.24 : x
  2. Step 2: Convert to fraction form
    537,693.24/805,977.12 = 200,598.24/x
  3. Step 3: Cross multiply
    537,693.24x = 805,977.12 × 200,598.24
  4. Step 4: Simplify right side
    537,693.24x = 161,677,591,752.27
  5. Step 5: Solve for x
    x = 161,677,591,752.27/537,693.24
  6. Step 6: Final answer
    x = 300,687.42

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1.5x scale

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.