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Finding the Fourth Proportional to 406,852.46, 610,195.27 and 154,045.73

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Solution

The fourth proportional to 406,852.46, 610,195.27 and 154,045.73 is: 231,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,852.46 : 610,195.27 = 154,045.73 : x
  2. Step 2: Convert to fraction form
    406,852.46/610,195.27 = 154,045.73/x
  3. Step 3: Cross multiply
    406,852.46x = 610,195.27 × 154,045.73
  4. Step 4: Simplify right side
    406,852.46x = 93,997,975,809.70
  5. Step 5: Solve for x
    x = 93,997,975,809.70/406,852.46
  6. Step 6: Final answer
    x = 231,037.01

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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.