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Finding the Fourth Proportional to 532,507.43, 734,859.61 and 314,794.57

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Solution

The fourth proportional to 532,507.43, 734,859.61 and 314,794.57 is: 434,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,507.43 : 734,859.61 = 314,794.57 : x
  2. Step 2: Convert to fraction form
    532,507.43/734,859.61 = 314,794.57/x
  3. Step 3: Cross multiply
    532,507.43x = 734,859.61 × 314,794.57
  4. Step 4: Simplify right side
    532,507.43x = 231,329,814,940.32
  5. Step 5: Solve for x
    x = 231,329,814,940.32/532,507.43
  6. Step 6: Final answer
    x = 434,416.13

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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.