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Finding the Fourth Proportional to 406,852.71, 610,195.67 and 154,045.98

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Solution

The fourth proportional to 406,852.71, 610,195.67 and 154,045.98 is: 231,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,852.71 : 610,195.67 = 154,045.98 : x
  2. Step 2: Convert to fraction form
    406,852.71/610,195.67 = 154,045.98/x
  3. Step 3: Cross multiply
    406,852.71x = 610,195.67 × 154,045.98
  4. Step 4: Simplify right side
    406,852.71x = 93,998,189,206.68
  5. Step 5: Solve for x
    x = 93,998,189,206.68/406,852.71
  6. Step 6: Final answer
    x = 231,037.39

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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.