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Finding the Fourth Proportional to 532,099.72, 734,568.51 and 410,969.08

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Solution

The fourth proportional to 532,099.72, 734,568.51 and 410,969.08 is: 567,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,099.72 : 734,568.51 = 410,969.08 : x
  2. Step 2: Convert to fraction form
    532,099.72/734,568.51 = 410,969.08/x
  3. Step 3: Cross multiply
    532,099.72x = 734,568.51 × 410,969.08
  4. Step 4: Simplify right side
    532,099.72x = 301,884,944,751.67
  5. Step 5: Solve for x
    x = 301,884,944,751.67/532,099.72
  6. Step 6: Final answer
    x = 567,346.56

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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.