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Finding the Fourth Proportional to 286,797.52, 429,297.72 and 185,461.12

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Solution

The fourth proportional to 286,797.52, 429,297.72 and 185,461.12 is: 277,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,797.52 : 429,297.72 = 185,461.12 : x
  2. Step 2: Convert to fraction form
    286,797.52/429,297.72 = 185,461.12/x
  3. Step 3: Cross multiply
    286,797.52x = 429,297.72 × 185,461.12
  4. Step 4: Simplify right side
    286,797.52x = 79,618,035,964.65
  5. Step 5: Solve for x
    x = 79,618,035,964.65/286,797.52
  6. Step 6: Final answer
    x = 277,610.62

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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.