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Finding the Fourth Proportional to 392,376.69, 588,429.36 and 152,434.04

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Solution

The fourth proportional to 392,376.69, 588,429.36 and 152,434.04 is: 228,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,376.69 : 588,429.36 = 152,434.04 : x
  2. Step 2: Convert to fraction form
    392,376.69/588,429.36 = 152,434.04/x
  3. Step 3: Cross multiply
    392,376.69x = 588,429.36 × 152,434.04
  4. Step 4: Simplify right side
    392,376.69x = 89,696,661,657.27
  5. Step 5: Solve for x
    x = 89,696,661,657.27/392,376.69
  6. Step 6: Final answer
    x = 228,598.34

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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.