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Finding the Fourth Proportional to 384,150.40, 576,225.60 and 290,838.40

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Solution

The fourth proportional to 384,150.40, 576,225.60 and 290,838.40 is: 436,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,150.40 : 576,225.60 = 290,838.40 : x
  2. Step 2: Convert to fraction form
    384,150.40/576,225.60 = 290,838.40/x
  3. Step 3: Cross multiply
    384,150.40x = 576,225.60 × 290,838.40
  4. Step 4: Simplify right side
    384,150.40x = 167,588,531,543.04
  5. Step 5: Solve for x
    x = 167,588,531,543.04/384,150.40
  6. Step 6: Final answer
    x = 436,257.60

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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.