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Finding the Fourth Proportional to 589,695.21, 884,019.20 and 229,782.69

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Solution

The fourth proportional to 589,695.21, 884,019.20 and 229,782.69 is: 344,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,695.21 : 884,019.20 = 229,782.69 : x
  2. Step 2: Convert to fraction form
    589,695.21/884,019.20 = 229,782.69/x
  3. Step 3: Cross multiply
    589,695.21x = 884,019.20 × 229,782.69
  4. Step 4: Simplify right side
    589,695.21x = 203,132,308,638.74
  5. Step 5: Solve for x
    x = 203,132,308,638.74/589,695.21
  6. Step 6: Final answer
    x = 344,470.00

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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.