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Finding the Fourth Proportional to 296,547.73, 409,237.81 and 160,581.69

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Solution

The fourth proportional to 296,547.73, 409,237.81 and 160,581.69 is: 221,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,547.73 : 409,237.81 = 160,581.69 : x
  2. Step 2: Convert to fraction form
    296,547.73/409,237.81 = 160,581.69/x
  3. Step 3: Cross multiply
    296,547.73x = 409,237.81 × 160,581.69
  4. Step 4: Simplify right side
    296,547.73x = 65,716,099,141.70
  5. Step 5: Solve for x
    x = 65,716,099,141.70/296,547.73
  6. Step 6: Final answer
    x = 221,603.78

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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.