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Finding the Fourth Proportional to 312,302.70, 430,968.06 and 176,334.48

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Solution

The fourth proportional to 312,302.70, 430,968.06 and 176,334.48 is: 243,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,302.70 : 430,968.06 = 176,334.48 : x
  2. Step 2: Convert to fraction form
    312,302.70/430,968.06 = 176,334.48/x
  3. Step 3: Cross multiply
    312,302.70x = 430,968.06 × 176,334.48
  4. Step 4: Simplify right side
    312,302.70x = 75,994,528,756.71
  5. Step 5: Solve for x
    x = 75,994,528,756.71/312,302.70
  6. Step 6: Final answer
    x = 243,336.12

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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.