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Finding the Fourth Proportional to 500,307.80, 750,602.00 and 200,998.58

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Solution

The fourth proportional to 500,307.80, 750,602.00 and 200,998.58 is: 301,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,307.80 : 750,602.00 = 200,998.58 : x
  2. Step 2: Convert to fraction form
    500,307.80/750,602.00 = 200,998.58/x
  3. Step 3: Cross multiply
    500,307.80x = 750,602.00 × 200,998.58
  4. Step 4: Simplify right side
    500,307.80x = 150,869,932,894.65
  5. Step 5: Solve for x
    x = 150,869,932,894.65/500,307.80
  6. Step 6: Final answer
    x = 301,554.23

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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.