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Finding the Fourth Proportional to 434,705.78, 651,983.94 and 114,861.08

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Solution

The fourth proportional to 434,705.78, 651,983.94 and 114,861.08 is: 172,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,705.78 : 651,983.94 = 114,861.08 : x
  2. Step 2: Convert to fraction form
    434,705.78/651,983.94 = 114,861.08/x
  3. Step 3: Cross multiply
    434,705.78x = 651,983.94 × 114,861.08
  4. Step 4: Simplify right side
    434,705.78x = 74,887,576,231.14
  5. Step 5: Solve for x
    x = 74,887,576,231.14/434,705.78
  6. Step 6: Final answer
    x = 172,271.87

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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.