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Finding the Fourth Proportional to 584,470.56, 877,203.12 and 229,732.32

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Solution

The fourth proportional to 584,470.56, 877,203.12 and 229,732.32 is: 344,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,470.56 : 877,203.12 = 229,732.32 : x
  2. Step 2: Convert to fraction form
    584,470.56/877,203.12 = 229,732.32/x
  3. Step 3: Cross multiply
    584,470.56x = 877,203.12 × 229,732.32
  4. Step 4: Simplify right side
    584,470.56x = 201,521,907,868.84
  5. Step 5: Solve for x
    x = 201,521,907,868.84/584,470.56
  6. Step 6: Final answer
    x = 344,793.94

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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.