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Finding the Fourth Proportional to 384,047.80, 576,071.70 and 288,662.20

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Solution

The fourth proportional to 384,047.80, 576,071.70 and 288,662.20 is: 432,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,047.80 : 576,071.70 = 288,662.20 : x
  2. Step 2: Convert to fraction form
    384,047.80/576,071.70 = 288,662.20/x
  3. Step 3: Cross multiply
    384,047.80x = 576,071.70 × 288,662.20
  4. Step 4: Simplify right side
    384,047.80x = 166,290,124,279.74
  5. Step 5: Solve for x
    x = 166,290,124,279.74/384,047.80
  6. Step 6: Final answer
    x = 432,993.30

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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.