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Finding the Fourth Proportional to 384,716.80, 577,075.20 and 242,999.20

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Solution

The fourth proportional to 384,716.80, 577,075.20 and 242,999.20 is: 364,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,716.80 : 577,075.20 = 242,999.20 : x
  2. Step 2: Convert to fraction form
    384,716.80/577,075.20 = 242,999.20/x
  3. Step 3: Cross multiply
    384,716.80x = 577,075.20 × 242,999.20
  4. Step 4: Simplify right side
    384,716.80x = 140,228,811,939.84
  5. Step 5: Solve for x
    x = 140,228,811,939.84/384,716.80
  6. Step 6: Final answer
    x = 364,498.80

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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.