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Finding the Fourth Proportional to 312,071.13, 430,551.09 and 176,088.33

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Solution

The fourth proportional to 312,071.13, 430,551.09 and 176,088.33 is: 242,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,071.13 : 430,551.09 = 176,088.33 : x
  2. Step 2: Convert to fraction form
    312,071.13/430,551.09 = 176,088.33/x
  3. Step 3: Cross multiply
    312,071.13x = 430,551.09 × 176,088.33
  4. Step 4: Simplify right side
    312,071.13x = 75,815,022,417.78
  5. Step 5: Solve for x
    x = 75,815,022,417.78/312,071.13
  6. Step 6: Final answer
    x = 242,941.48

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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.