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Finding the Fourth Proportional to 296,988.84, 409,852.74 and 169,685.16

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Solution

The fourth proportional to 296,988.84, 409,852.74 and 169,685.16 is: 234,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,988.84 : 409,852.74 = 169,685.16 : x
  2. Step 2: Convert to fraction form
    296,988.84/409,852.74 = 169,685.16/x
  3. Step 3: Cross multiply
    296,988.84x = 409,852.74 × 169,685.16
  4. Step 4: Simplify right side
    296,988.84x = 69,545,927,763.34
  5. Step 5: Solve for x
    x = 69,545,927,763.34/296,988.84
  6. Step 6: Final answer
    x = 234,170.17

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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.