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Finding the Fourth Proportional to 509,302.60, 763,395.90 and 256,179.40

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Solution

The fourth proportional to 509,302.60, 763,395.90 and 256,179.40 is: 383,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.60 : 763,395.90 = 256,179.40 : x
  2. Step 2: Convert to fraction form
    509,302.60/763,395.90 = 256,179.40/x
  3. Step 3: Cross multiply
    509,302.60x = 763,395.90 × 256,179.40
  4. Step 4: Simplify right side
    509,302.60x = 195,566,303,624.46
  5. Step 5: Solve for x
    x = 195,566,303,624.46/509,302.60
  6. Step 6: Final answer
    x = 383,988.43

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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.