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Finding the Fourth Proportional to 407,358.56, 610,892.04 and 141,047.57

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Solution

The fourth proportional to 407,358.56, 610,892.04 and 141,047.57 is: 211,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,358.56 : 610,892.04 = 141,047.57 : x
  2. Step 2: Convert to fraction form
    407,358.56/610,892.04 = 141,047.57/x
  3. Step 3: Cross multiply
    407,358.56x = 610,892.04 × 141,047.57
  4. Step 4: Simplify right side
    407,358.56x = 86,164,837,774.34
  5. Step 5: Solve for x
    x = 86,164,837,774.34/407,358.56
  6. Step 6: Final answer
    x = 211,520.87

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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.