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Finding the Fourth Proportional to 537,004.80, 804,585.60 and 255,916.80

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Solution

The fourth proportional to 537,004.80, 804,585.60 and 255,916.80 is: 383,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,004.80 : 804,585.60 = 255,916.80 : x
  2. Step 2: Convert to fraction form
    537,004.80/804,585.60 = 255,916.80/x
  3. Step 3: Cross multiply
    537,004.80x = 804,585.60 × 255,916.80
  4. Step 4: Simplify right side
    537,004.80x = 205,906,972,078.08
  5. Step 5: Solve for x
    x = 205,906,972,078.08/537,004.80
  6. Step 6: Final answer
    x = 383,436.00

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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.