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Finding the Fourth Proportional to 917,034, 1,265,623.56 and 514,626

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Solution

The fourth proportional to 917,034, 1,265,623.56 and 514,626 is: 710,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,034 : 1,265,623.56 = 514,626 : x
  2. Step 2: Convert to fraction form
    917,034/1,265,623.56 = 514,626/x
  3. Step 3: Cross multiply
    917,034x = 1,265,623.56 × 514,626
  4. Step 4: Simplify right side
    917,034x = 651,322,790,188.56
  5. Step 5: Solve for x
    x = 651,322,790,188.56/917,034
  6. Step 6: Final answer
    x = 710,249.34

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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.