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Finding the Fourth Proportional to 346,598.10, 520,069.95 and 196,953.30

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Solution

The fourth proportional to 346,598.10, 520,069.95 and 196,953.30 is: 295,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,598.10 : 520,069.95 = 196,953.30 : x
  2. Step 2: Convert to fraction form
    346,598.10/520,069.95 = 196,953.30/x
  3. Step 3: Cross multiply
    346,598.10x = 520,069.95 × 196,953.30
  4. Step 4: Simplify right side
    346,598.10x = 102,429,492,883.34
  5. Step 5: Solve for x
    x = 102,429,492,883.34/346,598.10
  6. Step 6: Final answer
    x = 295,528.14

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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.