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Finding the Fourth Proportional to 525,564.08, 725,278.32 and 283,846.64

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Solution

The fourth proportional to 525,564.08, 725,278.32 and 283,846.64 is: 391,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,564.08 : 725,278.32 = 283,846.64 : x
  2. Step 2: Convert to fraction form
    525,564.08/725,278.32 = 283,846.64/x
  3. Step 3: Cross multiply
    525,564.08x = 725,278.32 × 283,846.64
  4. Step 4: Simplify right side
    525,564.08x = 205,867,814,196.85
  5. Step 5: Solve for x
    x = 205,867,814,196.85/525,564.08
  6. Step 6: Final answer
    x = 391,708.30

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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.