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Finding the Fourth Proportional to 570,034.23, 786,635.08 and 311,910.18

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Solution

The fourth proportional to 570,034.23, 786,635.08 and 311,910.18 is: 430,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,034.23 : 786,635.08 = 311,910.18 : x
  2. Step 2: Convert to fraction form
    570,034.23/786,635.08 = 311,910.18/x
  3. Step 3: Cross multiply
    570,034.23x = 786,635.08 × 311,910.18
  4. Step 4: Simplify right side
    570,034.23x = 245,359,485,667.46
  5. Step 5: Solve for x
    x = 245,359,485,667.46/570,034.23
  6. Step 6: Final answer
    x = 430,429.39

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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.