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Finding the Fourth Proportional to 384,080.80, 575,084.40 and 384,080.80

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Solution

The fourth proportional to 384,080.80, 575,084.40 and 384,080.80 is: 575,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,080.80 : 575,084.40 = 384,080.80 : x
  2. Step 2: Convert to fraction form
    384,080.80/575,084.40 = 384,080.80/x
  3. Step 3: Cross multiply
    384,080.80x = 575,084.40 × 384,080.80
  4. Step 4: Simplify right side
    384,080.80x = 220,878,876,419.52
  5. Step 5: Solve for x
    x = 220,878,876,419.52/384,080.80
  6. Step 6: Final answer
    x = 575,084.40

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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.