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Finding the Fourth Proportional to 475,834.80, 713,794.14 and 134,281.30

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Solution

The fourth proportional to 475,834.80, 713,794.14 and 134,281.30 is: 201,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,834.80 : 713,794.14 = 134,281.30 : x
  2. Step 2: Convert to fraction form
    475,834.80/713,794.14 = 134,281.30/x
  3. Step 3: Cross multiply
    475,834.80x = 713,794.14 × 134,281.30
  4. Step 4: Simplify right side
    475,834.80x = 95,849,205,051.58
  5. Step 5: Solve for x
    x = 95,849,205,051.58/475,834.80
  6. Step 6: Final answer
    x = 201,433.79

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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.