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Finding the Fourth Proportional to 416,730.40, 575,087.92 and 225,743.74

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Solution

The fourth proportional to 416,730.40, 575,087.92 and 225,743.74 is: 311,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,730.40 : 575,087.92 = 225,743.74 : x
  2. Step 2: Convert to fraction form
    416,730.40/575,087.92 = 225,743.74/x
  3. Step 3: Cross multiply
    416,730.40x = 575,087.92 × 225,743.74
  4. Step 4: Simplify right side
    416,730.40x = 129,822,497,889.62
  5. Step 5: Solve for x
    x = 129,822,497,889.62/416,730.40
  6. Step 6: Final answer
    x = 311,526.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.