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Finding the Fourth Proportional to 384,904.80, 576,190.80 and 290,815.20

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Solution

The fourth proportional to 384,904.80, 576,190.80 and 290,815.20 is: 435,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,904.80 : 576,190.80 = 290,815.20 : x
  2. Step 2: Convert to fraction form
    384,904.80/576,190.80 = 290,815.20/x
  3. Step 3: Cross multiply
    384,904.80x = 576,190.80 × 290,815.20
  4. Step 4: Simplify right side
    384,904.80x = 167,565,042,740.16
  5. Step 5: Solve for x
    x = 167,565,042,740.16/384,904.80
  6. Step 6: Final answer
    x = 435,341.53

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Why These Related Problems?

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