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Finding the Fourth Proportional to 926,228, 1,278,194.64 and 502,292

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Solution

The fourth proportional to 926,228, 1,278,194.64 and 502,292 is: 693,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,228 : 1,278,194.64 = 502,292 : x
  2. Step 2: Convert to fraction form
    926,228/1,278,194.64 = 502,292/x
  3. Step 3: Cross multiply
    926,228x = 1,278,194.64 × 502,292
  4. Step 4: Simplify right side
    926,228x = 642,026,942,114.88
  5. Step 5: Solve for x
    x = 642,026,942,114.88/926,228
  6. Step 6: Final answer
    x = 693,162.96

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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.