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Finding the Fourth Proportional to 525,659.24, 725,409.65 and 283,941.82

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Solution

The fourth proportional to 525,659.24, 725,409.65 and 283,941.82 is: 391,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,659.24 : 725,409.65 = 283,941.82 : x
  2. Step 2: Convert to fraction form
    525,659.24/725,409.65 = 283,941.82/x
  3. Step 3: Cross multiply
    525,659.24x = 725,409.65 × 283,941.82
  4. Step 4: Simplify right side
    525,659.24x = 205,974,138,789.94
  5. Step 5: Solve for x
    x = 205,974,138,789.94/525,659.24
  6. Step 6: Final answer
    x = 391,839.66

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1.5x scale

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.