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Finding the Fourth Proportional to 364,706.54, 546,599.63 and 184,837.16

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Solution

The fourth proportional to 364,706.54, 546,599.63 and 184,837.16 is: 277,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,706.54 : 546,599.63 = 184,837.16 : x
  2. Step 2: Convert to fraction form
    364,706.54/546,599.63 = 184,837.16/x
  3. Step 3: Cross multiply
    364,706.54x = 546,599.63 × 184,837.16
  4. Step 4: Simplify right side
    364,706.54x = 101,031,923,266.25
  5. Step 5: Solve for x
    x = 101,031,923,266.25/364,706.54
  6. Step 6: Final answer
    x = 277,022.52

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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.