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Finding the Fourth Proportional to 523,564.80, 785,577.60 and 242,937.60

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Solution

The fourth proportional to 523,564.80, 785,577.60 and 242,937.60 is: 364,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,564.80 : 785,577.60 = 242,937.60 : x
  2. Step 2: Convert to fraction form
    523,564.80/785,577.60 = 242,937.60/x
  3. Step 3: Cross multiply
    523,564.80x = 785,577.60 × 242,937.60
  4. Step 4: Simplify right side
    523,564.80x = 190,846,336,757.76
  5. Step 5: Solve for x
    x = 190,846,336,757.76/523,564.80
  6. Step 6: Final answer
    x = 364,513.31

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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.