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Finding the Fourth Proportional to 304,596, 420,284.16 and 197,151.12

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Solution

The fourth proportional to 304,596, 420,284.16 and 197,151.12 is: 272,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,596 : 420,284.16 = 197,151.12 : x
  2. Step 2: Convert to fraction form
    304,596/420,284.16 = 197,151.12/x
  3. Step 3: Cross multiply
    304,596x = 420,284.16 × 197,151.12
  4. Step 4: Simplify right side
    304,596x = 82,859,492,862.26
  5. Step 5: Solve for x
    x = 82,859,492,862.26/304,596
  6. Step 6: Final answer
    x = 272,030.80

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Why These Related Problems?

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