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Finding the Fourth Proportional to 922,347, 1,272,838.86 and 519,939

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Solution

The fourth proportional to 922,347, 1,272,838.86 and 519,939 is: 717,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,347 : 1,272,838.86 = 519,939 : x
  2. Step 2: Convert to fraction form
    922,347/1,272,838.86 = 519,939/x
  3. Step 3: Cross multiply
    922,347x = 1,272,838.86 × 519,939
  4. Step 4: Simplify right side
    922,347x = 661,798,564,029.54
  5. Step 5: Solve for x
    x = 661,798,564,029.54/922,347
  6. Step 6: Final answer
    x = 717,515.82

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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.