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Finding the Fourth Proportional to 364,705.54, 546,598.14 and 184,836.16

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Solution

The fourth proportional to 364,705.54, 546,598.14 and 184,836.16 is: 277,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,705.54 : 546,598.14 = 184,836.16 : x
  2. Step 2: Convert to fraction form
    364,705.54/546,598.14 = 184,836.16/x
  3. Step 3: Cross multiply
    364,705.54x = 546,598.14 × 184,836.16
  4. Step 4: Simplify right side
    364,705.54x = 101,031,101,250.85
  5. Step 5: Solve for x
    x = 101,031,101,250.85/364,705.54
  6. Step 6: Final answer
    x = 277,021.02

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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.