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Finding the Fourth Proportional to 654,470.82, 902,425.10 and 460,816.65

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Solution

The fourth proportional to 654,470.82, 902,425.10 and 460,816.65 is: 635,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,470.82 : 902,425.10 = 460,816.65 : x
  2. Step 2: Convert to fraction form
    654,470.82/902,425.10 = 460,816.65/x
  3. Step 3: Cross multiply
    654,470.82x = 902,425.10 × 460,816.65
  4. Step 4: Simplify right side
    654,470.82x = 415,852,509,153.83
  5. Step 5: Solve for x
    x = 415,852,509,153.83/654,470.82
  6. Step 6: Final answer
    x = 635,402.67

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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.