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Finding the Fourth Proportional to 536,914.16, 805,352.60 and 137,558.24

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Solution

The fourth proportional to 536,914.16, 805,352.60 and 137,558.24 is: 206,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,914.16 : 805,352.60 = 137,558.24 : x
  2. Step 2: Convert to fraction form
    536,914.16/805,352.60 = 137,558.24/x
  3. Step 3: Cross multiply
    536,914.16x = 805,352.60 × 137,558.24
  4. Step 4: Simplify right side
    536,914.16x = 110,782,886,235.42
  5. Step 5: Solve for x
    x = 110,782,886,235.42/536,914.16
  6. Step 6: Final answer
    x = 206,332.58

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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.