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Finding the Fourth Proportional to 525,269.34, 788,150.04 and 258,884.64

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Solution

The fourth proportional to 525,269.34, 788,150.04 and 258,884.64 is: 388,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,269.34 : 788,150.04 = 258,884.64 : x
  2. Step 2: Convert to fraction form
    525,269.34/788,150.04 = 258,884.64/x
  3. Step 3: Cross multiply
    525,269.34x = 788,150.04 × 258,884.64
  4. Step 4: Simplify right side
    525,269.34x = 204,039,939,371.39
  5. Step 5: Solve for x
    x = 204,039,939,371.39/525,269.34
  6. Step 6: Final answer
    x = 388,448.22

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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.