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Finding the Fourth Proportional to 406,855.71, 610,200.17 and 154,048.98

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Solution

The fourth proportional to 406,855.71, 610,200.17 and 154,048.98 is: 231,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,855.71 : 610,200.17 = 154,048.98 : x
  2. Step 2: Convert to fraction form
    406,855.71/610,200.17 = 154,048.98/x
  3. Step 3: Cross multiply
    406,855.71x = 610,200.17 × 154,048.98
  4. Step 4: Simplify right side
    406,855.71x = 94,000,713,014.08
  5. Step 5: Solve for x
    x = 94,000,713,014.08/406,855.71
  6. Step 6: Final answer
    x = 231,041.89

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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.