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Finding the Fourth Proportional to 346,783.80, 519,616.80 and 196,577.40

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Solution

The fourth proportional to 346,783.80, 519,616.80 and 196,577.40 is: 294,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,783.80 : 519,616.80 = 196,577.40 : x
  2. Step 2: Convert to fraction form
    346,783.80/519,616.80 = 196,577.40/x
  3. Step 3: Cross multiply
    346,783.80x = 519,616.80 × 196,577.40
  4. Step 4: Simplify right side
    346,783.80x = 102,144,919,540.32
  5. Step 5: Solve for x
    x = 102,144,919,540.32/346,783.80
  6. Step 6: Final answer
    x = 294,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.