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Finding the Fourth Proportional to 502,786.17, 693,803.88 and 296,021.93

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Solution

The fourth proportional to 502,786.17, 693,803.88 and 296,021.93 is: 408,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,786.17 : 693,803.88 = 296,021.93 : x
  2. Step 2: Convert to fraction form
    502,786.17/693,803.88 = 296,021.93/x
  3. Step 3: Cross multiply
    502,786.17x = 693,803.88 × 296,021.93
  4. Step 4: Simplify right side
    502,786.17x = 205,381,160,130.07
  5. Step 5: Solve for x
    x = 205,381,160,130.07/502,786.17
  6. Step 6: Final answer
    x = 408,486.10

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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.