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Finding the Fourth Proportional to 380,738.20, 570,416.10 and 310,235.80

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Solution

The fourth proportional to 380,738.20, 570,416.10 and 310,235.80 is: 464,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,738.20 : 570,416.10 = 310,235.80 : x
  2. Step 2: Convert to fraction form
    380,738.20/570,416.10 = 310,235.80/x
  3. Step 3: Cross multiply
    380,738.20x = 570,416.10 × 310,235.80
  4. Step 4: Simplify right side
    380,738.20x = 176,963,495,116.38
  5. Step 5: Solve for x
    x = 176,963,495,116.38/380,738.20
  6. Step 6: Final answer
    x = 464,790.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.