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Finding the Fourth Proportional to 393,780.80, 590,962.80 and 288,804.80

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Solution

The fourth proportional to 393,780.80, 590,962.80 and 288,804.80 is: 433,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,780.80 : 590,962.80 = 288,804.80 : x
  2. Step 2: Convert to fraction form
    393,780.80/590,962.80 = 288,804.80/x
  3. Step 3: Cross multiply
    393,780.80x = 590,962.80 × 288,804.80
  4. Step 4: Simplify right side
    393,780.80x = 170,672,893,261.44
  5. Step 5: Solve for x
    x = 170,672,893,261.44/393,780.80
  6. Step 6: Final answer
    x = 433,421.06

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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.