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Finding the Fourth Proportional to 296,302.09, 408,897.96 and 160,336.04

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Solution

The fourth proportional to 296,302.09, 408,897.96 and 160,336.04 is: 221,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,302.09 : 408,897.96 = 160,336.04 : x
  2. Step 2: Convert to fraction form
    296,302.09/408,897.96 = 160,336.04/x
  3. Step 3: Cross multiply
    296,302.09x = 408,897.96 × 160,336.04
  4. Step 4: Simplify right side
    296,302.09x = 65,561,078,026.83
  5. Step 5: Solve for x
    x = 65,561,078,026.83/296,302.09
  6. Step 6: Final answer
    x = 221,264.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.