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Finding the Fourth Proportional to 435,003.80, 652,294.73 and 255,148

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Solution

The fourth proportional to 435,003.80, 652,294.73 and 255,148 is: 382,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,003.80 : 652,294.73 = 255,148 : x
  2. Step 2: Convert to fraction form
    435,003.80/652,294.73 = 255,148/x
  3. Step 3: Cross multiply
    435,003.80x = 652,294.73 × 255,148
  4. Step 4: Simplify right side
    435,003.80x = 166,431,695,770.04
  5. Step 5: Solve for x
    x = 166,431,695,770.04/435,003.80
  6. Step 6: Final answer
    x = 382,598.26

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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.