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Finding the Fourth Proportional to 296,382, 409,007.16 and 162,246

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Solution

The fourth proportional to 296,382, 409,007.16 and 162,246 is: 223,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,382 : 409,007.16 = 162,246 : x
  2. Step 2: Convert to fraction form
    296,382/409,007.16 = 162,246/x
  3. Step 3: Cross multiply
    296,382x = 409,007.16 × 162,246
  4. Step 4: Simplify right side
    296,382x = 66,359,775,681.36
  5. Step 5: Solve for x
    x = 66,359,775,681.36/296,382
  6. Step 6: Final answer
    x = 223,899.48

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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.