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Finding the Fourth Proportional to 649,436.20, 896,223.25 and 362,956.28

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Solution

The fourth proportional to 649,436.20, 896,223.25 and 362,956.28 is: 500,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,436.20 : 896,223.25 = 362,956.28 : x
  2. Step 2: Convert to fraction form
    649,436.20/896,223.25 = 362,956.28/x
  3. Step 3: Cross multiply
    649,436.20x = 896,223.25 × 362,956.28
  4. Step 4: Simplify right side
    649,436.20x = 325,289,852,842.09
  5. Step 5: Solve for x
    x = 325,289,852,842.09/649,436.20
  6. Step 6: Final answer
    x = 500,880.39

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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.