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Finding the Fourth Proportional to 341,709.40, 512,564.10 and 304,967.80

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Solution

The fourth proportional to 341,709.40, 512,564.10 and 304,967.80 is: 457,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,709.40 : 512,564.10 = 304,967.80 : x
  2. Step 2: Convert to fraction form
    341,709.40/512,564.10 = 304,967.80/x
  3. Step 3: Cross multiply
    341,709.40x = 512,564.10 × 304,967.80
  4. Step 4: Simplify right side
    341,709.40x = 156,315,545,935.98
  5. Step 5: Solve for x
    x = 156,315,545,935.98/341,709.40
  6. Step 6: Final answer
    x = 457,451.70

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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.