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Finding the Fourth Proportional to 434,558.80, 652,129.80 and 256,877.20

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Solution

The fourth proportional to 434,558.80, 652,129.80 and 256,877.20 is: 385,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,558.80 : 652,129.80 = 256,877.20 : x
  2. Step 2: Convert to fraction form
    434,558.80/652,129.80 = 256,877.20/x
  3. Step 3: Cross multiply
    434,558.80x = 652,129.80 × 256,877.20
  4. Step 4: Simplify right side
    434,558.80x = 167,517,277,060.56
  5. Step 5: Solve for x
    x = 167,517,277,060.56/434,558.80
  6. Step 6: Final answer
    x = 385,488.17

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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.