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Finding the Fourth Proportional to 460,226.16, 634,984.38 and 296,813.52

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Solution

The fourth proportional to 460,226.16, 634,984.38 and 296,813.52 is: 409,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,226.16 : 634,984.38 = 296,813.52 : x
  2. Step 2: Convert to fraction form
    460,226.16/634,984.38 = 296,813.52/x
  3. Step 3: Cross multiply
    460,226.16x = 634,984.38 × 296,813.52
  4. Step 4: Simplify right side
    460,226.16x = 188,471,948,972.82
  5. Step 5: Solve for x
    x = 188,471,948,972.82/460,226.16
  6. Step 6: Final answer
    x = 409,520.29

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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.