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Finding the Fourth Proportional to 389,623.90, 584,455.05 and 202,999.90

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Solution

The fourth proportional to 389,623.90, 584,455.05 and 202,999.90 is: 304,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,623.90 : 584,455.05 = 202,999.90 : x
  2. Step 2: Convert to fraction form
    389,623.90/584,455.05 = 202,999.90/x
  3. Step 3: Cross multiply
    389,623.90x = 584,455.05 × 202,999.90
  4. Step 4: Simplify right side
    389,623.90x = 118,644,316,704.50
  5. Step 5: Solve for x
    x = 118,644,316,704.50/389,623.90
  6. Step 6: Final answer
    x = 304,509.85

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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.