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Finding the Fourth Proportional to 407,099.82, 610,485.66 and 122,702.34

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Solution

The fourth proportional to 407,099.82, 610,485.66 and 122,702.34 is: 184,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,099.82 : 610,485.66 = 122,702.34 : x
  2. Step 2: Convert to fraction form
    407,099.82/610,485.66 = 122,702.34/x
  3. Step 3: Cross multiply
    407,099.82x = 610,485.66 × 122,702.34
  4. Step 4: Simplify right side
    407,099.82x = 74,908,021,307.77
  5. Step 5: Solve for x
    x = 74,908,021,307.77/407,099.82
  6. Step 6: Final answer
    x = 184,004.06

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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.