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Finding the Fourth Proportional to 569,930.05, 786,500.59 and 311,802.33

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Solution

The fourth proportional to 569,930.05, 786,500.59 and 311,802.33 is: 430,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,930.05 : 786,500.59 = 311,802.33 : x
  2. Step 2: Convert to fraction form
    569,930.05/786,500.59 = 311,802.33/x
  3. Step 3: Cross multiply
    569,930.05x = 786,500.59 × 311,802.33
  4. Step 4: Simplify right side
    569,930.05x = 245,232,714,949.36
  5. Step 5: Solve for x
    x = 245,232,714,949.36/569,930.05
  6. Step 6: Final answer
    x = 430,285.64

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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.