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Finding the Fourth Proportional to 525,513, 725,210.82 and 287,049

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Solution

The fourth proportional to 525,513, 725,210.82 and 287,049 is: 396,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,513 : 725,210.82 = 287,049 : x
  2. Step 2: Convert to fraction form
    525,513/725,210.82 = 287,049/x
  3. Step 3: Cross multiply
    525,513x = 725,210.82 × 287,049
  4. Step 4: Simplify right side
    525,513x = 208,171,040,670.18
  5. Step 5: Solve for x
    x = 208,171,040,670.18/525,513
  6. Step 6: Final answer
    x = 396,129.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.