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Finding the Fourth Proportional to 537,302.80, 805,032.60 and 256,214.80

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Solution

The fourth proportional to 537,302.80, 805,032.60 and 256,214.80 is: 383,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,302.80 : 805,032.60 = 256,214.80 : x
  2. Step 2: Convert to fraction form
    537,302.80/805,032.60 = 256,214.80/x
  3. Step 3: Cross multiply
    537,302.80x = 805,032.60 × 256,214.80
  4. Step 4: Simplify right side
    537,302.80x = 206,261,266,602.48
  5. Step 5: Solve for x
    x = 206,261,266,602.48/537,302.80
  6. Step 6: Final answer
    x = 383,882.73

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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.