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Finding the Fourth Proportional to 649,361.92, 896,031.36 and 362,868.16

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Solution

The fourth proportional to 649,361.92, 896,031.36 and 362,868.16 is: 500,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,361.92 : 896,031.36 = 362,868.16 : x
  2. Step 2: Convert to fraction form
    649,361.92/896,031.36 = 362,868.16/x
  3. Step 3: Cross multiply
    649,361.92x = 896,031.36 × 362,868.16
  4. Step 4: Simplify right side
    649,361.92x = 325,141,250,905.50
  5. Step 5: Solve for x
    x = 325,141,250,905.50/649,361.92
  6. Step 6: Final answer
    x = 500,708.84

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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.