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Finding the Fourth Proportional to 302,901.32, 418,065.85 and 180,465.42

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Solution

The fourth proportional to 302,901.32, 418,065.85 and 180,465.42 is: 249,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,901.32 : 418,065.85 = 180,465.42 : x
  2. Step 2: Convert to fraction form
    302,901.32/418,065.85 = 180,465.42/x
  3. Step 3: Cross multiply
    302,901.32x = 418,065.85 × 180,465.42
  4. Step 4: Simplify right side
    302,901.32x = 75,446,429,207.91
  5. Step 5: Solve for x
    x = 75,446,429,207.91/302,901.32
  6. Step 6: Final answer
    x = 249,079.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.