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Finding the Fourth Proportional to 537,254.52, 805,885.43 and 255,918.84

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Solution

The fourth proportional to 537,254.52, 805,885.43 and 255,918.84 is: 383,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,254.52 : 805,885.43 = 255,918.84 : x
  2. Step 2: Convert to fraction form
    537,254.52/805,885.43 = 255,918.84/x
  3. Step 3: Cross multiply
    537,254.52x = 805,885.43 × 255,918.84
  4. Step 4: Simplify right side
    537,254.52x = 206,241,263,138.91
  5. Step 5: Solve for x
    x = 206,241,263,138.91/537,254.52
  6. Step 6: Final answer
    x = 383,880.00

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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.