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Finding the Fourth Proportional to 509,909.58, 764,755.02 and 210,312.46

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Solution

The fourth proportional to 509,909.58, 764,755.02 and 210,312.46 is: 315,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,909.58 : 764,755.02 = 210,312.46 : x
  2. Step 2: Convert to fraction form
    509,909.58/764,755.02 = 210,312.46/x
  3. Step 3: Cross multiply
    509,909.58x = 764,755.02 × 210,312.46
  4. Step 4: Simplify right side
    509,909.58x = 160,837,509,553.55
  5. Step 5: Solve for x
    x = 160,837,509,553.55/509,909.58
  6. Step 6: Final answer
    x = 315,423.59

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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.