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Finding the Fourth Proportional to 460,023.40, 634,803.78 and 269,025.40

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Solution

The fourth proportional to 460,023.40, 634,803.78 and 269,025.40 is: 371,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,023.40 : 634,803.78 = 269,025.40 : x
  2. Step 2: Convert to fraction form
    460,023.40/634,803.78 = 269,025.40/x
  3. Step 3: Cross multiply
    460,023.40x = 634,803.78 × 269,025.40
  4. Step 4: Simplify right side
    460,023.40x = 170,778,340,836.01
  5. Step 5: Solve for x
    x = 170,778,340,836.01/460,023.40
  6. Step 6: Final answer
    x = 371,238.38

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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.