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Finding the Fourth Proportional to 557,069, 768,755.76 and 302,420.12

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Solution

The fourth proportional to 557,069, 768,755.76 and 302,420.12 is: 417,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,069 : 768,755.76 = 302,420.12 : x
  2. Step 2: Convert to fraction form
    557,069/768,755.76 = 302,420.12/x
  3. Step 3: Cross multiply
    557,069x = 768,755.76 × 302,420.12
  4. Step 4: Simplify right side
    557,069x = 232,487,209,189.89
  5. Step 5: Solve for x
    x = 232,487,209,189.89/557,069
  6. Step 6: Final answer
    x = 417,340.06

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Why These Related Problems?

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