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Finding the Fourth Proportional to 468,352.40, 646,341.95 and 287,029.29

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Solution

The fourth proportional to 468,352.40, 646,341.95 and 287,029.29 is: 396,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,352.40 : 646,341.95 = 287,029.29 : x
  2. Step 2: Convert to fraction form
    468,352.40/646,341.95 = 287,029.29/x
  3. Step 3: Cross multiply
    468,352.40x = 646,341.95 × 287,029.29
  4. Step 4: Simplify right side
    468,352.40x = 185,519,068,896.86
  5. Step 5: Solve for x
    x = 185,519,068,896.86/468,352.40
  6. Step 6: Final answer
    x = 396,110.00

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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.