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Finding the Fourth Proportional to 535,396.84, 802,573.02 and 254,838.76

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Solution

The fourth proportional to 535,396.84, 802,573.02 and 254,838.76 is: 382,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,396.84 : 802,573.02 = 254,838.76 : x
  2. Step 2: Convert to fraction form
    535,396.84/802,573.02 = 254,838.76/x
  3. Step 3: Cross multiply
    535,396.84x = 802,573.02 × 254,838.76
  4. Step 4: Simplify right side
    535,396.84x = 204,526,713,226.26
  5. Step 5: Solve for x
    x = 204,526,713,226.26/535,396.84
  6. Step 6: Final answer
    x = 382,009.56

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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.