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Finding the Fourth Proportional to 346,701.80, 520,052.70 and 196,884.20

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Solution

The fourth proportional to 346,701.80, 520,052.70 and 196,884.20 is: 295,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,701.80 : 520,052.70 = 196,884.20 : x
  2. Step 2: Convert to fraction form
    346,701.80/520,052.70 = 196,884.20/x
  3. Step 3: Cross multiply
    346,701.80x = 520,052.70 × 196,884.20
  4. Step 4: Simplify right side
    346,701.80x = 102,390,159,797.34
  5. Step 5: Solve for x
    x = 102,390,159,797.34/346,701.80
  6. Step 6: Final answer
    x = 295,326.30

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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.