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Finding the Fourth Proportional to 296,512.38, 409,187.25 and 160,547.22

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Solution

The fourth proportional to 296,512.38, 409,187.25 and 160,547.22 is: 221,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,512.38 : 409,187.25 = 160,547.22 : x
  2. Step 2: Convert to fraction form
    296,512.38/409,187.25 = 160,547.22/x
  3. Step 3: Cross multiply
    296,512.38x = 409,187.25 × 160,547.22
  4. Step 4: Simplify right side
    296,512.38x = 65,693,875,446.95
  5. Step 5: Solve for x
    x = 65,693,875,446.95/296,512.38
  6. Step 6: Final answer
    x = 221,555.25

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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.