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Finding the Fourth Proportional to 271,460.20, 407,384.70 and 153,005.80

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Solution

The fourth proportional to 271,460.20, 407,384.70 and 153,005.80 is: 229,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,460.20 : 407,384.70 = 153,005.80 : x
  2. Step 2: Convert to fraction form
    271,460.20/407,384.70 = 153,005.80/x
  3. Step 3: Cross multiply
    271,460.20x = 407,384.70 × 153,005.80
  4. Step 4: Simplify right side
    271,460.20x = 62,332,221,931.26
  5. Step 5: Solve for x
    x = 62,332,221,931.26/271,460.20
  6. Step 6: Final answer
    x = 229,618.27

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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.