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Finding the Fourth Proportional to 364,707.54, 546,601.14 and 184,838.16

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Solution

The fourth proportional to 364,707.54, 546,601.14 and 184,838.16 is: 277,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,707.54 : 546,601.14 = 184,838.16 : x
  2. Step 2: Convert to fraction form
    364,707.54/546,601.14 = 184,838.16/x
  3. Step 3: Cross multiply
    364,707.54x = 546,601.14 × 184,838.16
  4. Step 4: Simplify right side
    364,707.54x = 101,032,748,971.50
  5. Step 5: Solve for x
    x = 101,032,748,971.50/364,707.54
  6. Step 6: Final answer
    x = 277,024.02

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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.