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Finding the Fourth Proportional to 413,539.30, 620,308.95 and 133,084.90

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Solution

The fourth proportional to 413,539.30, 620,308.95 and 133,084.90 is: 199,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,539.30 : 620,308.95 = 133,084.90 : x
  2. Step 2: Convert to fraction form
    413,539.30/620,308.95 = 133,084.90/x
  3. Step 3: Cross multiply
    413,539.30x = 620,308.95 × 133,084.90
  4. Step 4: Simplify right side
    413,539.30x = 82,553,754,579.86
  5. Step 5: Solve for x
    x = 82,553,754,579.86/413,539.30
  6. Step 6: Final answer
    x = 199,627.35

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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.