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Finding the Fourth Proportional to 646,083.64, 969,129.10 and 575,334.19

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Solution

The fourth proportional to 646,083.64, 969,129.10 and 575,334.19 is: 863,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,083.64 : 969,129.10 = 575,334.19 : x
  2. Step 2: Convert to fraction form
    646,083.64/969,129.10 = 575,334.19/x
  3. Step 3: Cross multiply
    646,083.64x = 969,129.10 × 575,334.19
  4. Step 4: Simplify right side
    646,083.64x = 557,573,100,908.28
  5. Step 5: Solve for x
    x = 557,573,100,908.28/646,083.64
  6. Step 6: Final answer
    x = 863,004.53

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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.