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Finding the Fourth Proportional to 537,108.90, 804,972.15 and 411,828.90

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Solution

The fourth proportional to 537,108.90, 804,972.15 and 411,828.90 is: 617,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,108.90 : 804,972.15 = 411,828.90 : x
  2. Step 2: Convert to fraction form
    537,108.90/804,972.15 = 411,828.90/x
  3. Step 3: Cross multiply
    537,108.90x = 804,972.15 × 411,828.90
  4. Step 4: Simplify right side
    537,108.90x = 331,510,795,065.14
  5. Step 5: Solve for x
    x = 331,510,795,065.14/537,108.90
  6. Step 6: Final answer
    x = 617,213.37

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1.5x scale

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.