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Finding the Fourth Proportional to 304,503.30, 456,492.51 and 146,514.42

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Solution

The fourth proportional to 304,503.30, 456,492.51 and 146,514.42 is: 219,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,503.30 : 456,492.51 = 146,514.42 : x
  2. Step 2: Convert to fraction form
    304,503.30/456,492.51 = 146,514.42/x
  3. Step 3: Cross multiply
    304,503.30x = 456,492.51 × 146,514.42
  4. Step 4: Simplify right side
    304,503.30x = 66,882,735,336.99
  5. Step 5: Solve for x
    x = 66,882,735,336.99/304,503.30
  6. Step 6: Final answer
    x = 219,645.35

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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.