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Finding the Fourth Proportional to 586,524.29, 880,408.56 and 519,491.48

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Solution

The fourth proportional to 586,524.29, 880,408.56 and 519,491.48 is: 779,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,524.29 : 880,408.56 = 519,491.48 : x
  2. Step 2: Convert to fraction form
    586,524.29/880,408.56 = 519,491.48/x
  3. Step 3: Cross multiply
    586,524.29x = 880,408.56 × 519,491.48
  4. Step 4: Simplify right side
    586,524.29x = 457,364,741,437.03
  5. Step 5: Solve for x
    x = 457,364,741,437.03/586,524.29
  6. Step 6: Final answer
    x = 779,788.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.