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Finding the Fourth Proportional to 525,268.46, 788,148.75 and 258,883.76

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Solution

The fourth proportional to 525,268.46, 788,148.75 and 258,883.76 is: 388,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,268.46 : 788,148.75 = 258,883.76 : x
  2. Step 2: Convert to fraction form
    525,268.46/788,148.75 = 258,883.76/x
  3. Step 3: Cross multiply
    525,268.46x = 788,148.75 × 258,883.76
  4. Step 4: Simplify right side
    525,268.46x = 204,038,911,839.30
  5. Step 5: Solve for x
    x = 204,038,911,839.30/525,268.46
  6. Step 6: Final answer
    x = 388,446.91

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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.