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Finding the Fourth Proportional to 497,507.77, 746,261.45 and 123,530.77

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Solution

The fourth proportional to 497,507.77, 746,261.45 and 123,530.77 is: 185,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,507.77 : 746,261.45 = 123,530.77 : x
  2. Step 2: Convert to fraction form
    497,507.77/746,261.45 = 123,530.77/x
  3. Step 3: Cross multiply
    497,507.77x = 746,261.45 × 123,530.77
  4. Step 4: Simplify right side
    497,507.77x = 92,186,247,190.86
  5. Step 5: Solve for x
    x = 92,186,247,190.86/497,507.77
  6. Step 6: Final answer
    x = 185,296.10

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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.