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Finding the Fourth Proportional to 346,744.30, 520,216.08 and 144,301

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Solution

The fourth proportional to 346,744.30, 520,216.08 and 144,301 is: 216,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,744.30 : 520,216.08 = 144,301 : x
  2. Step 2: Convert to fraction form
    346,744.30/520,216.08 = 144,301/x
  3. Step 3: Cross multiply
    346,744.30x = 520,216.08 × 144,301
  4. Step 4: Simplify right side
    346,744.30x = 75,067,700,560.08
  5. Step 5: Solve for x
    x = 75,067,700,560.08/346,744.30
  6. Step 6: Final answer
    x = 216,492.96

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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.