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Finding the Fourth Proportional to 523,823.52, 785,754.72 and 168,842.64

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Solution

The fourth proportional to 523,823.52, 785,754.72 and 168,842.64 is: 253,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,823.52 : 785,754.72 = 168,842.64 : x
  2. Step 2: Convert to fraction form
    523,823.52/785,754.72 = 168,842.64/x
  3. Step 3: Cross multiply
    523,823.52x = 785,754.72 × 168,842.64
  4. Step 4: Simplify right side
    523,823.52x = 132,668,901,317.26
  5. Step 5: Solve for x
    x = 132,668,901,317.26/523,823.52
  6. Step 6: Final answer
    x = 253,270.23

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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.