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Finding the Fourth Proportional to 922,122, 1,272,567.24 and 519,714

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Solution

The fourth proportional to 922,122, 1,272,567.24 and 519,714 is: 717,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,122 : 1,272,567.24 = 519,714 : x
  2. Step 2: Convert to fraction form
    922,122/1,272,567.24 = 519,714/x
  3. Step 3: Cross multiply
    922,122x = 1,272,567.24 × 519,714
  4. Step 4: Simplify right side
    922,122x = 661,371,010,569.36
  5. Step 5: Solve for x
    x = 661,371,010,569.36/922,122
  6. Step 6: Final answer
    x = 717,227.23

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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.