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Finding the Fourth Proportional to 296,292.16, 408,802.16 and 168,921.28

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Solution

The fourth proportional to 296,292.16, 408,802.16 and 168,921.28 is: 233,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,292.16 : 408,802.16 = 168,921.28 : x
  2. Step 2: Convert to fraction form
    296,292.16/408,802.16 = 168,921.28/x
  3. Step 3: Cross multiply
    296,292.16x = 408,802.16 × 168,921.28
  4. Step 4: Simplify right side
    296,292.16x = 69,055,384,133.96
  5. Step 5: Solve for x
    x = 69,055,384,133.96/296,292.16
  6. Step 6: Final answer
    x = 233,065.18

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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.