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Finding the Fourth Proportional to 298,292.64, 411,643.89 and 164,156.64

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Solution

The fourth proportional to 298,292.64, 411,643.89 and 164,156.64 is: 226,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,292.64 : 411,643.89 = 164,156.64 : x
  2. Step 2: Convert to fraction form
    298,292.64/411,643.89 = 164,156.64/x
  3. Step 3: Cross multiply
    298,292.64x = 411,643.89 × 164,156.64
  4. Step 4: Simplify right side
    298,292.64x = 67,574,077,858.93
  5. Step 5: Solve for x
    x = 67,574,077,858.93/298,292.64
  6. Step 6: Final answer
    x = 226,536.19

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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.