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Finding the Fourth Proportional to 460,210.80, 635,168.34 and 296,821.38

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Solution

The fourth proportional to 460,210.80, 635,168.34 and 296,821.38 is: 409,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,210.80 : 635,168.34 = 296,821.38 : x
  2. Step 2: Convert to fraction form
    460,210.80/635,168.34 = 296,821.38/x
  3. Step 3: Cross multiply
    460,210.80x = 635,168.34 × 296,821.38
  4. Step 4: Simplify right side
    460,210.80x = 188,531,543,211.11
  5. Step 5: Solve for x
    x = 188,531,543,211.11/460,210.80
  6. Step 6: Final answer
    x = 409,663.45

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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.