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Finding the Fourth Proportional to 364,240.80, 545,923.80 and 186,656.40

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Solution

The fourth proportional to 364,240.80, 545,923.80 and 186,656.40 is: 279,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,240.80 : 545,923.80 = 186,656.40 : x
  2. Step 2: Convert to fraction form
    364,240.80/545,923.80 = 186,656.40/x
  3. Step 3: Cross multiply
    364,240.80x = 545,923.80 × 186,656.40
  4. Step 4: Simplify right side
    364,240.80x = 101,900,171,182.32
  5. Step 5: Solve for x
    x = 101,900,171,182.32/364,240.80
  6. Step 6: Final answer
    x = 279,760.45

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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.