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Finding the Fourth Proportional to 510,574.42, 765,861.27 and 229,763.62

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Solution

The fourth proportional to 510,574.42, 765,861.27 and 229,763.62 is: 344,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,574.42 : 765,861.27 = 229,763.62 : x
  2. Step 2: Convert to fraction form
    510,574.42/765,861.27 = 229,763.62/x
  3. Step 3: Cross multiply
    510,574.42x = 765,861.27 × 229,763.62
  4. Step 4: Simplify right side
    510,574.42x = 175,967,057,813.00
  5. Step 5: Solve for x
    x = 175,967,057,813.00/510,574.42
  6. Step 6: Final answer
    x = 344,645.27

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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.