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Finding the Fourth Proportional to 346,941.20, 520,411.80 and 213,388.40

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Solution

The fourth proportional to 346,941.20, 520,411.80 and 213,388.40 is: 320,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,941.20 : 520,411.80 = 213,388.40 : x
  2. Step 2: Convert to fraction form
    346,941.20/520,411.80 = 213,388.40/x
  3. Step 3: Cross multiply
    346,941.20x = 520,411.80 × 213,388.40
  4. Step 4: Simplify right side
    346,941.20x = 111,049,841,343.12
  5. Step 5: Solve for x
    x = 111,049,841,343.12/346,941.20
  6. Step 6: Final answer
    x = 320,082.60

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1.5x scale

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.