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Finding the Fourth Proportional to 384,970.80, 576,362.70 and 364,024.20

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Solution

The fourth proportional to 384,970.80, 576,362.70 and 364,024.20 is: 545,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,970.80 : 576,362.70 = 364,024.20 : x
  2. Step 2: Convert to fraction form
    384,970.80/576,362.70 = 364,024.20/x
  3. Step 3: Cross multiply
    384,970.80x = 576,362.70 × 364,024.20
  4. Step 4: Simplify right side
    384,970.80x = 209,809,970,777.34
  5. Step 5: Solve for x
    x = 209,809,970,777.34/384,970.80
  6. Step 6: Final answer
    x = 545,002.30

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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.