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Finding the Fourth Proportional to 533,984.51, 736,893.00 and 288,963.90

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Solution

The fourth proportional to 533,984.51, 736,893.00 and 288,963.90 is: 398,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,984.51 : 736,893.00 = 288,963.90 : x
  2. Step 2: Convert to fraction form
    533,984.51/736,893.00 = 288,963.90/x
  3. Step 3: Cross multiply
    533,984.51x = 736,893.00 × 288,963.90
  4. Step 4: Simplify right side
    533,984.51x = 212,935,473,717.88
  5. Step 5: Solve for x
    x = 212,935,473,717.88/533,984.51
  6. Step 6: Final answer
    x = 398,767.14

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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.