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Finding the Fourth Proportional to 314,935.88, 434,650.74 and 180,797

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Solution

The fourth proportional to 314,935.88, 434,650.74 and 180,797 is: 249,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.88 : 434,650.74 = 180,797 : x
  2. Step 2: Convert to fraction form
    314,935.88/434,650.74 = 180,797/x
  3. Step 3: Cross multiply
    314,935.88x = 434,650.74 × 180,797
  4. Step 4: Simplify right side
    314,935.88x = 78,583,549,839.78
  5. Step 5: Solve for x
    x = 78,583,549,839.78/314,935.88
  6. Step 6: Final answer
    x = 249,522.38

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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.