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Finding the Fourth Proportional to 794,298, 1,096,131.26 and 436,602

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Solution

The fourth proportional to 794,298, 1,096,131.26 and 436,602 is: 602,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,298 : 1,096,131.26 = 436,602 : x
  2. Step 2: Convert to fraction form
    794,298/1,096,131.26 = 436,602/x
  3. Step 3: Cross multiply
    794,298x = 1,096,131.26 × 436,602
  4. Step 4: Simplify right side
    794,298x = 478,573,100,378.52
  5. Step 5: Solve for x
    x = 478,573,100,378.52/794,298
  6. Step 6: Final answer
    x = 602,510.77

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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.