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Finding the Fourth Proportional to 926,229, 1,278,196.02 and 502,293

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Solution

The fourth proportional to 926,229, 1,278,196.02 and 502,293 is: 693,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,229 : 1,278,196.02 = 502,293 : x
  2. Step 2: Convert to fraction form
    926,229/1,278,196.02 = 502,293/x
  3. Step 3: Cross multiply
    926,229x = 1,278,196.02 × 502,293
  4. Step 4: Simplify right side
    926,229x = 642,028,913,473.86
  5. Step 5: Solve for x
    x = 642,028,913,473.86/926,229
  6. Step 6: Final answer
    x = 693,164.34

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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.