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Finding the Fourth Proportional to 509,018.10, 763,625.56 and 193,450.40

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Solution

The fourth proportional to 509,018.10, 763,625.56 and 193,450.40 is: 290,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,018.10 : 763,625.56 = 193,450.40 : x
  2. Step 2: Convert to fraction form
    509,018.10/763,625.56 = 193,450.40/x
  3. Step 3: Cross multiply
    509,018.10x = 763,625.56 × 193,450.40
  4. Step 4: Simplify right side
    509,018.10x = 147,723,668,123.16
  5. Step 5: Solve for x
    x = 147,723,668,123.16/509,018.10
  6. Step 6: Final answer
    x = 290,213.00

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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.