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Finding the Fourth Proportional to 296,987.84, 409,851.36 and 169,684.16

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Solution

The fourth proportional to 296,987.84, 409,851.36 and 169,684.16 is: 234,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,987.84 : 409,851.36 = 169,684.16 : x
  2. Step 2: Convert to fraction form
    296,987.84/409,851.36 = 169,684.16/x
  3. Step 3: Cross multiply
    296,987.84x = 409,851.36 × 169,684.16
  4. Step 4: Simplify right side
    296,987.84x = 69,545,283,746.46
  5. Step 5: Solve for x
    x = 69,545,283,746.46/296,987.84
  6. Step 6: Final answer
    x = 234,168.79

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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.