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Finding the Fourth Proportional to 408,070.51, 563,138.46 and 226,781.88

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Solution

The fourth proportional to 408,070.51, 563,138.46 and 226,781.88 is: 312,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070.51 : 563,138.46 = 226,781.88 : x
  2. Step 2: Convert to fraction form
    408,070.51/563,138.46 = 226,781.88/x
  3. Step 3: Cross multiply
    408,070.51x = 563,138.46 × 226,781.88
  4. Step 4: Simplify right side
    408,070.51x = 127,709,596,547.34
  5. Step 5: Solve for x
    x = 127,709,596,547.34/408,070.51
  6. Step 6: Final answer
    x = 312,959.63

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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.