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Finding the Fourth Proportional to 407,104.34, 610,492.41 and 122,706.86

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Solution

The fourth proportional to 407,104.34, 610,492.41 and 122,706.86 is: 184,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104.34 : 610,492.41 = 122,706.86 : x
  2. Step 2: Convert to fraction form
    407,104.34/610,492.41 = 122,706.86/x
  3. Step 3: Cross multiply
    407,104.34x = 610,492.41 × 122,706.86
  4. Step 4: Simplify right side
    407,104.34x = 74,911,603,632.47
  5. Step 5: Solve for x
    x = 74,911,603,632.47/407,104.34
  6. Step 6: Final answer
    x = 184,010.82

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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.