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Finding the Fourth Proportional to 532,188.16, 734,426.56 and 314,404

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Solution

The fourth proportional to 532,188.16, 734,426.56 and 314,404 is: 433,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,188.16 : 734,426.56 = 314,404 : x
  2. Step 2: Convert to fraction form
    532,188.16/734,426.56 = 314,404/x
  3. Step 3: Cross multiply
    532,188.16x = 734,426.56 × 314,404
  4. Step 4: Simplify right side
    532,188.16x = 230,906,648,170.24
  5. Step 5: Solve for x
    x = 230,906,648,170.24/532,188.16
  6. Step 6: Final answer
    x = 433,881.60

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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.