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Finding the Fourth Proportional to 469,004.80, 702,988.80 and 258,793.60

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Solution

The fourth proportional to 469,004.80, 702,988.80 and 258,793.60 is: 387,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,004.80 : 702,988.80 = 258,793.60 : x
  2. Step 2: Convert to fraction form
    469,004.80/702,988.80 = 258,793.60/x
  3. Step 3: Cross multiply
    469,004.80x = 702,988.80 × 258,793.60
  4. Step 4: Simplify right side
    469,004.80x = 181,929,002,311.68
  5. Step 5: Solve for x
    x = 181,929,002,311.68/469,004.80
  6. Step 6: Final answer
    x = 387,904.35

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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.