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Finding the Fourth Proportional to 460,007.30, 634,805.34 and 253,269.15

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Solution

The fourth proportional to 460,007.30, 634,805.34 and 253,269.15 is: 349,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,007.30 : 634,805.34 = 253,269.15 : x
  2. Step 2: Convert to fraction form
    460,007.30/634,805.34 = 253,269.15/x
  3. Step 3: Cross multiply
    460,007.30x = 634,805.34 × 253,269.15
  4. Step 4: Simplify right side
    460,007.30x = 160,776,605,546.98
  5. Step 5: Solve for x
    x = 160,776,605,546.98/460,007.30
  6. Step 6: Final answer
    x = 349,508.81

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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.