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Finding the Fourth Proportional to 384,006.40, 576,009.60 and 362,233.60

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Solution

The fourth proportional to 384,006.40, 576,009.60 and 362,233.60 is: 543,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,006.40 : 576,009.60 = 362,233.60 : x
  2. Step 2: Convert to fraction form
    384,006.40/576,009.60 = 362,233.60/x
  3. Step 3: Cross multiply
    384,006.40x = 576,009.60 × 362,233.60
  4. Step 4: Simplify right side
    384,006.40x = 208,650,031,042.56
  5. Step 5: Solve for x
    x = 208,650,031,042.56/384,006.40
  6. Step 6: Final answer
    x = 543,350.40

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1.5x scale

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.