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Finding the Fourth Proportional to 565,956, 780,828.66 and 384,352.92

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Solution

The fourth proportional to 565,956, 780,828.66 and 384,352.92 is: 530,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,956 : 780,828.66 = 384,352.92 : x
  2. Step 2: Convert to fraction form
    565,956/780,828.66 = 384,352.92/x
  3. Step 3: Cross multiply
    565,956x = 780,828.66 × 384,352.92
  4. Step 4: Simplify right side
    565,956x = 300,113,775,490.69
  5. Step 5: Solve for x
    x = 300,113,775,490.69/565,956
  6. Step 6: Final answer
    x = 530,277.58

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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.