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Finding the Fourth Proportional to 364,643.94, 546,967.20 and 111,924.45

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Solution

The fourth proportional to 364,643.94, 546,967.20 and 111,924.45 is: 167,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,643.94 : 546,967.20 = 111,924.45 : x
  2. Step 2: Convert to fraction form
    364,643.94/546,967.20 = 111,924.45/x
  3. Step 3: Cross multiply
    364,643.94x = 546,967.20 × 111,924.45
  4. Step 4: Simplify right side
    364,643.94x = 61,219,000,976.91
  5. Step 5: Solve for x
    x = 61,219,000,976.91/364,643.94
  6. Step 6: Final answer
    x = 167,887.07

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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.