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Finding the Fourth Proportional to 312,003.16, 430,527.36 and 176,029.18

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Solution

The fourth proportional to 312,003.16, 430,527.36 and 176,029.18 is: 242,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,003.16 : 430,527.36 = 176,029.18 : x
  2. Step 2: Convert to fraction form
    312,003.16/430,527.36 = 176,029.18/x
  3. Step 3: Cross multiply
    312,003.16x = 430,527.36 × 176,029.18
  4. Step 4: Simplify right side
    312,003.16x = 75,785,378,148.36
  5. Step 5: Solve for x
    x = 75,785,378,148.36/312,003.16
  6. Step 6: Final answer
    x = 242,899.39

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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.