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Finding the Fourth Proportional to 341,142.90, 510,730.20 and 208,282.65

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Solution

The fourth proportional to 341,142.90, 510,730.20 and 208,282.65 is: 311,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,142.90 : 510,730.20 = 208,282.65 : x
  2. Step 2: Convert to fraction form
    341,142.90/510,730.20 = 208,282.65/x
  3. Step 3: Cross multiply
    341,142.90x = 510,730.20 × 208,282.65
  4. Step 4: Simplify right side
    341,142.90x = 106,376,239,491.03
  5. Step 5: Solve for x
    x = 106,376,239,491.03/341,142.90
  6. Step 6: Final answer
    x = 311,823.11

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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.