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Finding the Fourth Proportional to 532,083.64, 734,401.50 and 305,860.60

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Solution

The fourth proportional to 532,083.64, 734,401.50 and 305,860.60 is: 422,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,083.64 : 734,401.50 = 305,860.60 : x
  2. Step 2: Convert to fraction form
    532,083.64/734,401.50 = 305,860.60/x
  3. Step 3: Cross multiply
    532,083.64x = 734,401.50 × 305,860.60
  4. Step 4: Simplify right side
    532,083.64x = 224,624,483,430.90
  5. Step 5: Solve for x
    x = 224,624,483,430.90/532,083.64
  6. Step 6: Final answer
    x = 422,160.10

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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.