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Finding the Fourth Proportional to 523,838.76, 722,902.50 and 297,485.88

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Solution

The fourth proportional to 523,838.76, 722,902.50 and 297,485.88 is: 410,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,838.76 : 722,902.50 = 297,485.88 : x
  2. Step 2: Convert to fraction form
    523,838.76/722,902.50 = 297,485.88/x
  3. Step 3: Cross multiply
    523,838.76x = 722,902.50 × 297,485.88
  4. Step 4: Simplify right side
    523,838.76x = 215,053,286,366.70
  5. Step 5: Solve for x
    x = 215,053,286,366.70/523,838.76
  6. Step 6: Final answer
    x = 410,533.36

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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.