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Finding the Fourth Proportional to 463,681.28, 695,706.24 and 214,480.64

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Solution

The fourth proportional to 463,681.28, 695,706.24 and 214,480.64 is: 321,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,681.28 : 695,706.24 = 214,480.64 : x
  2. Step 2: Convert to fraction form
    463,681.28/695,706.24 = 214,480.64/x
  3. Step 3: Cross multiply
    463,681.28x = 695,706.24 × 214,480.64
  4. Step 4: Simplify right side
    463,681.28x = 149,215,519,607.19
  5. Step 5: Solve for x
    x = 149,215,519,607.19/463,681.28
  6. Step 6: Final answer
    x = 321,806.22

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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.