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Finding the Fourth Proportional to 407,130.66, 610,501.86 and 182,492.96

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Solution

The fourth proportional to 407,130.66, 610,501.86 and 182,492.96 is: 273,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,130.66 : 610,501.86 = 182,492.96 : x
  2. Step 2: Convert to fraction form
    407,130.66/610,501.86 = 182,492.96/x
  3. Step 3: Cross multiply
    407,130.66x = 610,501.86 × 182,492.96
  4. Step 4: Simplify right side
    407,130.66x = 111,412,288,464.40
  5. Step 5: Solve for x
    x = 111,412,288,464.40/407,130.66
  6. Step 6: Final answer
    x = 273,652.42

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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.