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Finding the Fourth Proportional to 531,767.56, 734,110.13 and 410,636.92

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Solution

The fourth proportional to 531,767.56, 734,110.13 and 410,636.92 is: 566,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,767.56 : 734,110.13 = 410,636.92 : x
  2. Step 2: Convert to fraction form
    531,767.56/734,110.13 = 410,636.92/x
  3. Step 3: Cross multiply
    531,767.56x = 734,110.13 × 410,636.92
  4. Step 4: Simplify right side
    531,767.56x = 301,452,722,724.00
  5. Step 5: Solve for x
    x = 301,452,722,724.00/531,767.56
  6. Step 6: Final answer
    x = 566,888.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.