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Finding the Fourth Proportional to 565,763.04, 780,731.28 and 311,099.04

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Solution

The fourth proportional to 565,763.04, 780,731.28 and 311,099.04 is: 429,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,763.04 : 780,731.28 = 311,099.04 : x
  2. Step 2: Convert to fraction form
    565,763.04/780,731.28 = 311,099.04/x
  3. Step 3: Cross multiply
    565,763.04x = 780,731.28 × 311,099.04
  4. Step 4: Simplify right side
    565,763.04x = 242,884,751,705.97
  5. Step 5: Solve for x
    x = 242,884,751,705.97/565,763.04
  6. Step 6: Final answer
    x = 429,304.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.