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Finding the Fourth Proportional to 312,340.48, 431,037.12 and 176,418.16

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Solution

The fourth proportional to 312,340.48, 431,037.12 and 176,418.16 is: 243,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,340.48 : 431,037.12 = 176,418.16 : x
  2. Step 2: Convert to fraction form
    312,340.48/431,037.12 = 176,418.16/x
  3. Step 3: Cross multiply
    312,340.48x = 431,037.12 × 176,418.16
  4. Step 4: Simplify right side
    312,340.48x = 76,042,775,602.10
  5. Step 5: Solve for x
    x = 76,042,775,602.10/312,340.48
  6. Step 6: Final answer
    x = 243,461.16

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