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Finding the Fourth Proportional to 429,536.04, 644,019.72 and 204,931.14

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Solution

The fourth proportional to 429,536.04, 644,019.72 and 204,931.14 is: 307,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,536.04 : 644,019.72 = 204,931.14 : x
  2. Step 2: Convert to fraction form
    429,536.04/644,019.72 = 204,931.14/x
  3. Step 3: Cross multiply
    429,536.04x = 644,019.72 × 204,931.14
  4. Step 4: Simplify right side
    429,536.04x = 131,979,695,402.08
  5. Step 5: Solve for x
    x = 131,979,695,402.08/429,536.04
  6. Step 6: Final answer
    x = 307,261.05

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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.