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Finding the Fourth Proportional to 388,852.13, 536,616 and 210,004.13

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Solution

The fourth proportional to 388,852.13, 536,616 and 210,004.13 is: 289,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,852.13 : 536,616 = 210,004.13 : x
  2. Step 2: Convert to fraction form
    388,852.13/536,616 = 210,004.13/x
  3. Step 3: Cross multiply
    388,852.13x = 536,616 × 210,004.13
  4. Step 4: Simplify right side
    388,852.13x = 112,691,573,541
  5. Step 5: Solve for x
    x = 112,691,573,541/388,852.13
  6. Step 6: Final answer
    x = 289,805.73

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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.