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Finding the Fourth Proportional to 530,509.92, 795,055 and 260,224.80

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Solution

The fourth proportional to 530,509.92, 795,055 and 260,224.80 is: 389,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,509.92 : 795,055 = 260,224.80 : x
  2. Step 2: Convert to fraction form
    530,509.92/795,055 = 260,224.80/x
  3. Step 3: Cross multiply
    530,509.92x = 795,055 × 260,224.80
  4. Step 4: Simplify right side
    530,509.92x = 206,893,028,364
  5. Step 5: Solve for x
    x = 206,893,028,364/530,509.92
  6. Step 6: Final answer
    x = 389,988.99

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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.