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Finding the Fourth Proportional to 519,122, 715,739.28 and 433,204.76

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Solution

The fourth proportional to 519,122, 715,739.28 and 433,204.76 is: 597,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,122 : 715,739.28 = 433,204.76 : x
  2. Step 2: Convert to fraction form
    519,122/715,739.28 = 433,204.76/x
  3. Step 3: Cross multiply
    519,122x = 715,739.28 × 433,204.76
  4. Step 4: Simplify right side
    519,122x = 310,061,663,014.97
  5. Step 5: Solve for x
    x = 310,061,663,014.97/519,122
  6. Step 6: Final answer
    x = 597,280.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.